Show that the function defined by the parametric equations ,

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Show that the function y=f(x)y = f(x) defined by the parametric equations x=et⋅sin⁡tx = e^t \cdot \sin t , y=et⋅cos⁡ty = e^t \cdot \cos t , satisfies the relation y′′(x+y)2=2(xy′−y)y''(x+y)^2 = 2(xy' - y) .

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