solve x''+9x=cos3t where x(0)=1 and x(pi/2)=-1
here x'(0) is not given and i am unable to use x(pi/2)=-1
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If you have to use Laplace Transforms, (there are other methods available), run the calculation through with x'(0) as an unknown constant. When you have your solution for x, substitute t=pi/2, x=-1 to evaluate the constant.
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