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  • Provide solution for RD Sharma maths Class 12 Chapter 21 Differential Equation Exercise Multiple Choice Question Question 10 textbook solution.

Provide solution for RD Sharma maths Class 12 Chapter 21 Differential Equation Exercise Multiple Choice Question Question 10 textbook solution.

Answers (1)

Answer : (b)\; a=-b

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

Given : \frac{d y}{d x}=\frac{a x+g}{b y+f}

Explanation : d y(b y+f)=(a x+g) d x

\begin{aligned} &\frac{b y^{2}}{2}+f y+C_{1}=\frac{a x^{2}}{2}+g x \\ &\frac{a x^{2}}{2}-\frac{b y^{2}}{2}+g x-f y-C_{1}=0 \end{aligned}

In circle, coefficient of x^{2} = coefficient of y^{2}

\begin{aligned} &\frac{a}{2}=-\frac{b}{2} \\ &a=-b \end{aligned}

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