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Verify that the given function is the solution of the initial value problem. 1. A) x^3y'''-3x^2y''+6xy'-6y=...

Verify that the given function is the solution of the initial value problem.

1. A) x^3y'''-3x^2y''+6xy'-6y= -(24/x) y(-1)=0 y'(-1)=0 y''(-1)=0

y=-6x-8x^2-3x^3+(1/x)

C) xy'''-y''-xy'+y^2= x^2 y(1)=2 y'(1)=5 y''(1)=-1

y=-x^2-2+2e^(x-1-e^-(x-1))+4x

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