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y=e^(x)(a cos x+b sin x):(d^(2)y)/(dx^(2...

y=e^(x)(a cos x+b sin x):(d^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0

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For each of the exercises given below, verify that the given fuction (implicit or explicit) is a solution of the corresponding differential equation. y = e^x (a cos x + b sin x) : (d^2y)/(dx^2) - 2(dy)/(dx) + 2y = 0

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If y=e^(x)(sin x+cos x), prove that (d^(2)y)/(dx^(2))-2(dy)/(dx)=2y=0

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