Differential Equations

Civil engineers use partial differential equations in many different situations. These include the following: heating and cooling; motion of a particle in a resisting medium; hanging cables; electric circuits; natural purification in a stream.

Implicit and explicit determine what can be passed to a method. If a method is not declared as explicit the compiler will attempt to look for any implicit conversions from the type being passed to the type the method expects. for example, if the method expects a long and you pass in an unsigned char, the compiler will not complain because an unsigned char can be implicitly converted to a long without any loss of data. If you declare the method as explicit the data type that is used in the method declaration is the data type that needs to be passed to the method. If you want to pass a char *ptr to a method that expects a long you will have to cast the char *ptr to a long when calling the method. For example, foo((long)ptr);

steel weighs 490 pounds per cubic foot. A piece of steel 12" x 12" x 1" weighs 40.83 pounds. 7.65 lbs per square foot So ... 48" x 96" = 4' x 8' = 32 square feet and 7.65 lbs per square foot x 32 square feet = 245 lbs per full 0.1875" thick sheet

The method used in order to find the differance in elevation between two points

1. If they r far a part

2.If the differance in elevation b/w them is too great

3.If there are obstacle itervening ...

BY ;ABDUL JABBAR RAHIMMON

MEHRAN UET JAMSHORO SINDH PAKISTAN

a repeating decimal or a remainder.

It's a dynamical system that allows to reconstruct state vector of a nonlinear system using observation of the system output. See the Wikipedia article "State Observers".

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You are referring to the Schrodinger Equation. This is because it comes from the classical view that the total energy is equal to the hamiltonian of a system:
Kinetic Energy + Potential Energy = Total energy.
Classically the kinetic energy is (1/2)mv2 = p2/(2m) ; where m is mass, v is velocity, p is momentum (p=mv).
Now the momentum operator in QM is p=iħ∇ ;where ∇ is the gradient operator.

This therefore yields the QM hamiltonian [-ħ2∇2/(2m) + V(x,y,z)]Ψ = EΨ

Now a more fun question to ask would be "Why is the Hamiltonian a function of the second-order partial differential with respect to position but the time dependent is only a function of a first-order differential with respect to time?"

meaning
HΨ = -iħ(dΨ/dt) or
[-ħ2∇2/(2m) + V(x,y,z)]Ψ = -iħ(dΨ/dt)

hint: Think Maxwell's Equations!

The number of moves required to solve the Hanoi tower is 2m + 1 . Therefore for a tower of five disks the minimum number of moves required is: 31.

The Schrödinger wave equation cannot be derived (at least not by any known means). Erwin Schrödinger literally guessed the equation (though his guess had reason behind it), and justification for its use can be attributed to the simple fact that it works.

Thought it was guess when Schrödinger formulated his wave equation he drew from a classical foundation. Total energy is equal to the kinetic energy plus the potential energy. Classically kinetic energy is expressed as p2/(2m), where p is momentum and m is the mass. The potential can be whatever you want it to be so we will just call it V, then finally lets call the total energy E. We put this all together to get p2/(2m)+V=E but in terms of operators p=[i*h/(2*pi)]*(d2/dqi2), where i is the square root of negative one, h is Planck's constant, pi is 3.141529, and (d2/dqi2) is the second order differential with respect to space in generalized coordinates. So putting p back in our equation for energy we get [- h2/(4*pi*m)]*(d2/dqi2)+V=E. Now comes the sort of complex part. In general the total energy of a system is defined by the Hamiltonian, lets call is H. Now, E is the eigenvalue of the Hamiltonian operator. Meaning that when H operates on some state it is measuring the total energy of that state. In quantum mechanics H=[i*h/(2*pi)]*(d/dt), where (d\dt) is the first order differential with respect to time. Now putting this all together we get [i*h/(2*pi)]*(d/dt)=[- h2/(4*pi*m)]*(d2/dqi2)+V. That, to me, is Schrodinger's "picture" of the wave equation.

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Sorry it is a bit lengthy but I wanted to be thorough.

for variables x and y and constanat k

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The solution to a differential equation requires integration. With any integration, there is a constant of integration. This constant can only be found by using additional conditions: initial or boundary.

The red clay bricks I bought today - measuring about 4" x 8" x 2 1/4" thick (10 cm x 20 cm x 5 1/2 cm) - weigh just under 6 lbs (about 2.7 Kilograms) apiece.

Seven hours.

The local solution of an ordinary differential equation (ODE) is the solution you get at a specific point of the function involved in the differential equation. One can Taylor expand the function at this point, turning non-linear ODEs into linear ones, if needed, to find the behavior of the solution around that one specific point. Of course, a local solution tells you very little about the ODE's global solution, but sometimes you don't want to know that anyways.

I'm no pool expert but I can do the basic maths. I'd presume the limiting factor on how much water will pass through a pipe is its cross sectional area, and that these are circular pipes. If so, the area of a 1.5 inch diameter pipe is pi x .75 x .75, and of a 2inch diameter pipe is pi x 1 x 1 . So two of the smaller pipes will have a combined area of 1.125pi sq. inches, more than the single bigger pipe at 1pi sq. inches. Two 1.5" pipes into a single 2" line is acceptable for your flow rates. The flow rate will depend more on your pump than the two 1.5" diameter lines. You could add a third, or even more lines and individually isolate them with ball valves so you can adjust the flow from each as per the requirements of the pool.

Leonhard Euler developed this method in his article, "De aequationibus differentialibus, quae certis tantum casibus integrationem admittunt (On differential equations which sometimes can be integrated)," published in 1747.

YES

"Dose" is a measured portion of a medicine. I am not aware of any grades that have measured quantities of medication!

It might help if the question was completed!

You need differential equations and partial differential equations to describe and predict the dynamic behaviour of systems. Newton and Laplace developed differential equations originally and simultaneously (using different notation) to work with gravity and the movement of the moon and planets.

very much

It is not possible to reproduce the equations on this website, however you can find a detailed derivation at the related link.