If and , then prove that…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

If

x = a \cos \theta + b \sin \theta

and

y = a \sin \theta - b \cos \theta

, then prove that

y^2 \frac{d^2 y}{dx^2} - x \frac{dy}{dx} + y = 0

.

Related theory

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