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  • Provide Solution For R.D.Sharma Maths Class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 5 Maths Textbook Solution.

Provide Solution For R.D.Sharma Maths Class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 5 Maths Textbook Solution.

Answers (1)

Answer:

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

Hint:

The number of constants is equal to the number of time we differentiate

Given:

                y=a\: \sin \left ( x+b \right ), where a,b are constants

Solution:

                y=a\: \sin \left ( x+b \right )

Here, there are two constants. So, we differentiate twice

                \frac{dy}{dx}=a\cos \left ( x+b \right )

Again,

                \frac{d^{2}y}{dx^{2}}=-a\sin \left ( x+b \right )

                \frac{d^{2}y}{dx^{2}}=-y

\therefore            \frac{d^{2}y}{dx^{2}}+y=0  which is the required differential equation.

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