If x=a cosθ+b sinθ and y=a sinθ-b cosθ, then prove that y^2d^2 y/d x^2-x d y/d x+y=0

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If x=a cosθ+b sinθ and y=a sinθ-b cosθ, then prove that y^2d^2 y/d x^2-x d y/d x+y=0

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