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  • Need solution for RD Sharma maths Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 48 textbook solution.

Need solution for  RD Sharma maths Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 48 textbook solution.

Answers (1)

Answer :  (c)x=vy

Hint : Take x=vy

Given : \frac{dx}{dy}=h(\frac{x}{y})                               ....(i)

Explanation : Let x=vy

\Rightarrow \frac{d x}{d y}=v+y \frac{d v}{d y}

Put in (i)

\begin{aligned} &\Rightarrow v+y \frac{d v}{d y}=h(v) \\ &\Rightarrow y \frac{d v}{d y}=h(v)-v \\ &\Rightarrow \frac{d y}{y}=\frac{d v}{h(v)-v} \end{aligned}

Is homogeneous

Hence, x=vy

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