Differential Equations

A differential equation, unlike other mathematical equations, has one or more of its unknowns undergoing a continual change. These equations mathematically describe the most significant phenomena in the universe, including Newtonian and quantum mechanics, waves and oscillators, biological growth and decay, heat, economics, and general relativity. Please direct all concerns about these intricate and all-encompassing equations here.

500 Questions

What are the applications of differential equations in pharmacy?

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Asked by Wiki User

For the source and more detailed information concerning your request, click on the related links section (U.S. Department of Labor) indicated directly below this answer section.

What is the formula for calculating VOLUME of a regular object?

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Asked by Wiki User

i don't know this answer and this is the only thing on here and i need this answer!!!!!!!!!!!!!!!

i don't know this answer and this is the only thing on here and i need this answer!!!!!!!!!!!!!!!


We are going to check it tomarrow so im just gonna copy! Thanks nobody helped you are all so nice!! :( I figured it out on my own to COPY, always the result to everything, bye!

I figured it out! I figured it out! It's mass/volume let me know if 'm right cause im the kind of person that can be so confident in my answer and i m not even close to the right one :) !!!

What is vibration equation?

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Asked by Wiki User

There is no generic "vibration" equation, as many different things can vibrate with many different boundary conditions. There is, however, a generic wave equation which, as I just hinted at, can be used to formulate equations for specific vibrations.

Given a function u(x,y,z,t) where x, y, and z are spatial coordinates in Euclidean space and t is time, the wave equation is given as:

∂2u/∂t2 = vp2∇2u,

where vp is the phase velocity of the wave and ∇2 is the Laplacian.

For the specific example of a vibrating string with a small amplitude, the wave equation becomes:

∂2y/∂t2 = v2∂2y/∂x2,

where y(x,t) and v is the velocity of the wave.

The remarkable thing about the wave equation is how often Mother Nature uses it. The "u(x,y,z,t)" can describe the vibration of a drum head, the electromagnetic fields of light, the ripples on water, the sound of your voice and much more.

What is the answer 6 over 11 times 3 over 4?

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Asked by Wiki User

6/11 x 3/4 = 18/44. When multiplying fractions, multiply the numerators together, and multiply the denominators together.

What are the applications of differential equations in software engineering in detail?

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Asked by Wiki User

There is no application of differential equation in computer science

What a-levels are needed for marine biology?

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To become a zoologist, the general courses in biology, physics, chemistry, and math. While you can find entry level employment with a bachelor's degree, you will need a master's degree for higher paying jobs. If you wish to conduct research, you will need a PhD.

What are the uses of differential equations in engineering?

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Asked by Wiki User

You'll find ordinary differential equations (ODEs) being used in chemical engineering for many things, such as determining reaction rates, activation energies, mass transfer operations, heat transfer operations, and momentum transfer operations.

What are the applications of Differential equations in the field of computer programming?

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Asked by Gmkcufssa

There are several applications of differential equations...

To begin with, there is the typical distance with respect to time (e.g. finding the rate of change between two cars after four hours if they start at a point and move in a 90 degree angle from each other). The differential equation is also used in physics with Newton's Second Law of Motion and the Law of Cooling. It can also be used in Hooke's Law for modeling the motion of a spring or in representing models for population growth and money flow/circulation. There are many other applications and there are many equations out there that can be used to set up and solve day-to-day problems.

Experience: Calculus 2 student

What is after a quadrillion?

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Asked by Wiki User

Billion has 9 zeros

Trillion has 12 zeros

Quadrillion has 15 zeros

Quintillion has 18 zeros

Sextillion has 21 zeros

Septillion has 24 zeros

Octillion has 27 zeros

Nonillion has 30 zeros

Decillion has 33 zeros

Undecillion has 36 zeros

Duodecillion has 39 zeros

Tredecillion has 42 zeros

Quattuordecillion has 45 zeros

Quindecillion has 48 zeros

Sexdecillion has 51 zeros

Septendecillion has 54 zeros

Octodecillion has 57 zeros

Novemdecillion has 60 zeros

Vigintillion has 63 zeros

Googol has 100 zeros.

Centillion has 303 zeros (except in Britain, where it has 600 zeros)

Googolplex has a googol of zeros

How do you dismantle a 1990 Toyota Cressida differential?

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Asked by Wiki User

if you plan on fixing it and you're not really good with this kind of stuff don't do it. if its just for fun or you're good with this have fun;)

firstly, you'll need the following tools:

-impact hammer

-30mm socket (1/2" drive preferably)

-socket for bolts on back plate (12mm i think)

-14mm socket for bearing caps

-chain or a couple pry bars


-brass punch with a fairly flat end, no wider than about 3/4". even steel is ok if you're careful.

-chisel, dremel, or other cutting tool

-oil seal puller

-dial indicator

-dial indicator stand

alright fun time. first we need to find the backlash of the ring gear to the pinion gear. the easiest way to explain the backlash is that its the play or space between the ring and pinion gears, should be around 0.005-0.007", not too much. remove all bolts on the back inspection plate and gently tap it off with your hammer and punch or bar. measure using the dial indicator and stand, gently rock the ring gear back and fouth to get the reading while holding the pinion. unless the carrier bearings on the ring gear are shot, you want to return the gears to the same backlash on reassembly. the input probe or plunger of your dial indicator (depending on type) should be perpendicular to the face of one of the teeth of the ring gear.

next take the drive pinions off. unlike north American diffs, imports use snap rings. the way to get them off is to be rough unfortunately. use your pry bars and slip them under each pinion flange. hammer like theres no tomorrow and they will pop out. alternatively attach a chain to each of them (threaded studs should still be there) using washers and a nut and lift the diff up and shake it hard. **do this on grass and steel toed boots/shoes are a MUST** mark which pinion is which side and set them aside. remove the snap rings and toss them, also junk now.

now remove the bearing caps from the back of the diff. mark which one came from where and put them aside. they're torqued on to 54 ft-lbs so either use the impact wrench or a good breaker bar for that.

look in the holes where the drive pinions were that you just pulled out. see the yellow coloured plates with a toothed hole in them? those are shims. *gently* tap one of them out towards the back with your brass punch and hammer. mark which side it belongs to. the ring gear and case assembly should come out by hand now that a shim and the bearing caps are removed.

**if you're reusing those carrier bearings, you MUST mark which bearing race (ring) goes where!! to mix them up can be dangerous!!**

now we need the pinion off. theres an indented part of the big nut on the pinion, called 'staked'. cut that away with the dremel, chisel, whatever. be careful not to damage the threads on the steel shaft underneath.

take your impact gun and the 30mm socket and pop the bolt off, hold the pinion with your hand and give it a few short bursts to avoid spinning the diff.

toss the nut away, its useless now. the pinion flange should pull right off pretty easily. theres a metal plate underneath on top of the outer pinion bearing, it will come right out. that's the oil slinger, put it aside with the pinion.

now put the diff up on the worktable so its resting on its back end (with the back plate removed still of course). put several thick rags in the bottom on your workbench. also, you can alternatively hold the back of your pinion. its easier with a friend. take your brass punch and make sure its contacting only the drilled middle of the pinion. pound the pinion out! BE CAREFUL NOT TO DAMAGE THE THREADS!! if you do (like i did) you'll need to find an M20 x 1.5 metric tapping die.

you'll notice a crushed sleeve in there. that's just as the name implies, a crush sleeve. VERY important for the life of your pinion bearings. toss that away, they can only be used once. the pinion bearing races can be removed with your punch and hammer, take your time. again label if you're reusing - even though they're hard to confuse as they're different sizes.

there you go, apart. if you want to remove the ring gear, use your punch or a screwdriver to break the lock plates on the bolts on the case (you'll see what i mean) and toss them away. remove the bolts with the impact gun.

inspect for damage to your bearing rollers...very important! any pitting, nasty scratching, or otherwise and that bearing should be replaced.

if you can follow it this far, you know what you're doing just fine. if not, take your time, research and do it slowly. check out, and search for the supra mk3 TSRM as the mk3 supra has the same diff as the cressidas.

best of luck, its not the easiest job but not bad once you figure it out.

Can you list out topics for paper presentation on renewable energy?

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Asked by Wiki User

solar energy is one of the best renewable energy resources and new mechanism to efficiently convert the solar energy to mechanical energy are being developed. Lot of R&D is going on in to this topic in the labs of MIT. It deals with breaking water into hydrogen and oxygen. you can follow it up from this link.

What is the general solution of a differential equation?

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Asked by MSaad

It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.