Question: When the following PDE du t is solved using Method of Separation cos(x)- the function X satisfies the ODE - 3 02: sin(x) sin(t).

When the following PDE du t is solved using Method of Separation cos(x)- the function X satisfies the ODE - 3

When the following PDE du t is solved using Method of Separation cos(x)- the function X satisfies the ODE - 3 02: sin(x) sin(t). = = u(x, t) = X(x)T(t) du exp(x) sin(t) x A(x)X" + B(x)X' +pX=0 where A(x) and B(x) are functions. By finding expressions for A(x) and B(x), give the absolute value of A(x) when x = 0.9 and t = 5.

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