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  • Need solution for RD Sharma maths Class 12 Chapter 21 Differential Equation Exercise Multiple Choice Question Question 20 textbook solution.

Need solution for  RD Sharma maths Class 12 Chapter 21 Differential Equation Exercise Multiple Choice Question Question 20 textbook solution.

Answers (1)

Answer: (d) Parabolas

Hint: Use variable separable method i.e. take the y terms to one side and x terms to the other.

Given:  2 x \frac{d y}{d x}-y=3

Explanation : 2 x \frac{d y}{d x}=3+y

\begin{aligned} &\Rightarrow 2\left(\frac{d y}{3+y}\right)=\frac{d x}{x} \\ &\Rightarrow 2 \log (3+y)=\log x+\log C \end{aligned}

\begin{aligned} &\Rightarrow \log (3+y)^{2}=\log C x \\ &\Rightarrow(3+y)^{2}=C x \end{aligned}

The solution represents the parabola.

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