Diffusion Equation : Energy Decreasing as a Function of Time - 3. Suppose that u(x. t) satisfies the diffusion equation
ut = kuxx
for 0 < x < L and t > 0, and the Robin boundary conditions ux(0, t) - aou(0, t) = 0 and ux(L, t) + aLu(L, t) = 0
where k, L, a0 an ...
Solving Ordinary Differential Equation using Laplace Transform - (1) Use Laplace Transforms to solve Differential Equation
y'' - 8y' + 20 y = t (e^t) , given that y(0) = 0 , y'(0) = 0
(2) Use Laplace Transforms to solve Differential Equation
y'' ...