Differential Equations

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Applications of ordinary differential equations are commonly used in the engineering field. The equation is used to find the relationship between the various parts of a bridge, as seen in the Euler-Bernoulli Beam Theory.

PDE stands for Partial Differential Equation

four

Here we go....... 1 Bigha = 20 katha = 33 decimal 1 katha = 1.65 decimal

In its normal form, you do not solve differential equation for x, but for a function of x, usually denoted by y = f(x).

Another method to solve differential equation is taking y and dy terms on one side, and x and dy terms on other side, then integrating on both sides.This is a general solution.

So if we want to particular solution we choose initial conditions.

find the volume of the largest pyramid which can be cut from a rectangular parallelepiped whose edges are 2in. by 3in. by 4in. discuss fully

PDEs are used in simulation of real life models like heat flow equation is used for the analysis of temperature distribution in a body, the wave equation for the motion of a waveforms, the flow equation for the fluid flow and Laplace’s equation for an electrostatic potential.

fuzzy differential equation (FDEs) taken account the information about the behavior of a dynamical system which is uncertainty in order to obtain a more realistic and flexible model. So, we have r as the fuzzy number in the equation whereas ordinary differential equations do not have the fuzzy number.

A functional relation can have two or more independent variables. In order to analyse the behaviour of the dependent variable, it is necessary to calculate how the dependent varies according to either (or both) of the two independent variables. This variation is obtained by partial differentiation.

yes

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[1+(y')2]3 = [yy"+1+(y')2]2

Initial Value Problem.

A differential equation, coupled with enough initial conditions for there to be a unique solution.

Example:

y'' - 6y = exp(x) ; y'(0) = y(0) = 0

You have to isolate your variable to one side of the equation. Add, subtract, multiply, and divide when necessary.

Sometimes you will get an approximate answer. This means you cant show all of the decimals. For exmaple lets say your variables equals 1/3. Well you cant possibly write 3 infinite because 1/3=0.333 (with infinite 3s). So you write approximately equal to 0.333 Also when you have a variable that is equal to pi (3.14159... etc) you cant possibly write the infinite amount of decimals for this so you write 3 or 4 decimals and then make sure you indicate it is approximate and not equal.

A non-square matrix cannot be inverted.

3 over four is all ways proper and 6 over four like that is improper but if you mean 64 over 4 it is also improper just the way it is

The highest order of derivative is 2. There will be a second derivative {f''(x) or d2y/dx} in the equation.

The answer to this question is 14. The reason why is becasue 14 is greater than 14

67/2

32/10=3.2 or 3 r2

A simultaneous equation

If you happened to know impulsive differential equations and there was an outbreak of swine flu, bird flu, zombie bumblebees, etc., and there was a method to treat them (and you knew about it), then you *could* tell how likely it is that the treatment would be effective, and how long that would take. That could affect your stock portfolio, or whether or not you want to leave the house or answer the door because it's worth quarantining yourself away from disease... which could also just make you look like a crazy person because even if *you* can tell using impulsive differential equations that we're all doomed, your neighbors probably don't.