Question

UNDERSTANDING ISC MATHEMATICS. - • . UNDERSTANDING IS 13. If y = x cos x, prove that x2 omy – 2 x dy + (2 + x2) y = 0. dr2

Defence Exams

Maths

Solution

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( frac{d^{2} y}{d r^{2}}=-2 sin x-x cos x ) the ( begin{aligned} & 0(2)(3) cos (a) Rightarrow & x^{2}(-sin x-x cos x)-2 x(cos x-x sin x)+left(2+x^{2}right)(x cos x) Rightarrow &-2 x^{2} sin x-x^{3} cos x-2 x cos x+2 x^{2} sin x end{aligned} ) ( +2 x cos x+k^{3} cos x ) ( Rightarrow )