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  • Please Solve R.D.Sharma class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 3 Sub Question 1 Maths textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 21  Differential Equations Exercise Revision Exercise Question 3 Sub Question 1 Maths textbook Solution.

Answers (1)

Answer:

                Verified

Hint:

Find the first and second derivative of given function and put values in differential equation to verify

Given:

            y=e^{x}+1

            {y}''-{y}'=0

 Solution:

            \begin{aligned} &y=e^{x}+1 \\ &\frac{d y}{d x}=e^{x} \\ &\frac{d^{2} y}{d x^{2}}=e^{x} \end{aligned}

 Put in given differential equation,

                \begin{aligned} &y^{\prime \prime}-y^{\prime}=0 \\ &\frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}=0 \\ &e^{x}-e^{x}=0 \\ &\Rightarrow 0 \end{aligned}

 Hence verified

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