If , then prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

If y=Acos⁡(log⁡x)+Bsin⁡(log⁡x)y = A \cos(\log x) + B \sin(\log x) , then prove that x2d2ydx2+xdydx+y=0x^2 \frac{d^2 y}{dx^2} + x \frac{dy}{dx} + y = 0 .

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