Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, ...
Solve the diffusion equation ut = kuxx with the initial condition u(x,0) = x2 by the following special method. First show that uxxx satisfies the diffusion ...
Consider the heat equation ut = uxx; with the following initial and boundary conditions: u(x,0) = f(x); ux(0,t) = 0; u(π, t) = 0.
... solution is X(T) = x exp(T − t). Page 9. Example 1. Solve ut + xux = 0 with initial condition u(x,0) = cos(x). A characteristic curve ending at (x,t) will ...
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, ...
UT Extension provides Real. Life. Solutions. throughout Tennessee. With an office in each of the state's ninety-five counties, UT Extension helps Tennessean ...
Solve ut = kuxx; u(x,0) = e−x; u(0,t) = 0 on the half-line 0 <x< с. Solution. Solution by the Method of Reflection. To solve the diffusion equation on the ...
solves the heat equation ut = uxx. You may use MAPLE to do the algebra. (c) Plot u(x, t) at time t = 0.125, 0.25, 0.5, 1, 2, on the same axes.
Mar 18, 2021 · Fourier Coefficients. We compute B, by plugging t = 0) into the formula for u(x, t) and setting equal to the initial heat distribution given in ...
Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, ...
People also search for