In this problem we find the eigenfunctions and eigenvalues of the differential equation day + xy =0 on the interval 0 s * $ 9 with boundary values (0) =0 39) +(9) =0 For the general solution of the differential equation in the following cases use A and B for your constants, for example & = A cos(@) + B sin (@). For the variable ) type the word lambda, otherwise treat it as you would any other variable.Case 3: * > 0 (3a.) Ignoring the boundary conditions, the general solution is (@) = Asqrt(lambda)cos((sqrtlambda)>)+Bsqrt(lambda)sin((sqrtlambda)x) Apply the boundary conditions to obtain two equations relating A to B: Asqrt(lambda)cos((sqrtlambda)9)+Bsqrt(lambda)sin((sqrtlambda)9) = 0 Bsqrtlambda =0