2. Ify = A cos nx + B sinnx, prove that axy + n1。dx2 – InterviewSolution

1.

2. Ify = A cos nx + B sinnx, prove that axy + n1。dx2

Answer»

y = Acos(nx)+Bsin(nx)---(1)

differentiating wrt to x

y' = -nAsin(nx)+ nBcos(nx)

differentiating wrt to x

y" = -n²Acos(nx)-n²Bsin(nx) =-n²y { from 1}

y"+ n²y =0 hence proved

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