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  • Provide solution for RD Sharma maths class 12 chapter Higher Order Derivatives exercise 11.1 question 6

Provide solution for RD Sharma maths class 12 chapter Higher Order Derivatives exercise 11.1 question 6

Answers (1)

Answer:

        \frac{d^{2}y}{dx^{2}}+y=0

Hint:

You have to know about how to find derivative of second order

Given:

If y=2sin x+3cos x,show that

        \frac{d^{2}y}{dx^{2}}+y=0

Solution:

Let y=2sin x+3cos x

        \begin{aligned} &\frac{d y}{d x}=2 \cos x-3 \sin x \quad \quad\left(\frac{d \cos x}{d x}=-\sin x, \frac{d \sin x}{d x}=\cos x\right) \\ &\frac{d^{2} y}{d x^{2}}=-2 \sin x-3 \cos x \\ &\frac{d^{2} y}{d x^{2}}=-y \\ &\frac{d^{2} y}{d x^{2}}+y=0 \end{aligned}

Hence proved

Posted by

Gurleen Kaur

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