Question

1. Find the solution to the following boundary value initial value problem for the Heat Equation au 22u 22 = 22+ 2 0<x<1, c=1 <3 <1, C u(0,t) = 0 u(1,t) = 0 (L = 1) u(x,0) = f(x) = 3 sin(7x) + 2 sin (3x) (initial conditions) (2,0) = g(x) = sin(2x) 2. Find the solution to the following boundary value problem on the rectangle 0 < x < 1,0 <y< 2 a²u azu = 0 222 * 22y a(0, 3) = 0, 4(1, 1) = 0 u(x,0) = 0, u(, 2) = sin TX

PROBLEM 1 IS SUPPOSED TO BE A WAVE EQUATION NOT HEAT EQUATION

Answer 1

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Max 1 question HomeworkLib policy. If you don't understand then ask me. Before looking at the problem you should know orthogonality of sine and cosine function.