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Please Solve R.D.Sharma class 12 Chapter 21  Differential Equations Exercise Revision Exercise Question 3 Sub Question 2 Maths textbook Solution.

Answers (1)

Answer:

                Verified

Hint:

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

Given:

           y=x^{2}+2x+c

            {y}'-2x-2=0

Solution:

            \begin{aligned} y &=x^{2}+2 x+c \\ y^{\prime} &=\frac{d y}{d x}=2 x+2 \\ y^{\prime \prime} &=\frac{d^{2} y}{d x^{2}}=2 \end{aligned}

Put in differential equation,

          {y}'-2x-2=0

           2x+2-2x-2=0

            \Rightarrow 0

Hence verified

               

                           

 

           

               

 

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