If y - 5 cos x- 3 sin x- prove that d 2 y dx 2 - y - 0

y=5cos x+3sin x Differentiating on both sides d yd x= 5sin x+3cos x Differentiating on both sides d^2 yd x^2= 5cos x 3sin x= y d ^2 yd x^2+y=0 ...

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Implicit Differentiation

If y = 5 co...

Question

If $y = 5 c o s x + 3 s i n x$ , prove that $\frac{d^{2} y}{d x^{2}} + y = 0$

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If y = 5 cos x -3 sin x, prove that $\frac{d^{2} y}{d x} + y = 0$ .

y = x^{x}

\frac{d^{2} y}{d x^{2}} - \frac{1}{y} {(\frac{d y}{d x})}^{2} - \frac{y}{x} = 0.

y = A sin x + B cos x

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

y = sin (sin x)

\frac{d^{2} y}{d x^{2}} + tan x \frac{d y}{d x} + y {cos}^{2} x = 0

y = sin (sin x)

\frac{d^{2} y}{d x^{2}} + tan x \frac{d y}{d x} + y {cos}^{2} x = 0

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