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3. (10 pts) Use the method of separating variables to solve the problem utt = curr u(0,t) = 0 = u(l,t) ur. 0) = 3.7 - 4, u(3,

This is a partial differential equations question. Please help me solve for u(x,t):

Find the eigenvalues/eigenfunction and then use the initial conditions/boundary conditions to find Fourier coefficients for the equation.

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domu (x, t) = c2 ** (2,t) for all 0 < x <l and t > 0 (1) The conditions that the left and right hand ends are held at heightThe left hand side is independent of t. So the right hand side, which is equal to the left hand side, must be independent ofand this will certainly be the case if X;(l) = 0 for all i. We are now going to go through the solutions that we found in Steas a linear combination of sin knas and we also know the formula Bk = § | h(x) sin km2 dx for the coefficients. We can make

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This is a partial differential equations question. Please help me solve for u(x,t): Find the eigenvalues/eigenfunction...
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