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Please solve RD Sharma class 12 chapter 21 Differential Equation exercise Fill in the blank question 29 maths textbook solution

Answers (1)

Answer:

 xy = C

Given:

The general solution of the differential equation

\frac{dx}{x}+\frac{dy}{y}=0

is _____

Hint:

 The above sum will be solved by the formula of derivatives.

Solution:

\begin{aligned} &\frac{dx}{x}+\frac{dy}{y}=0 \\ &\Rightarrow \frac{dx}{x}=-\frac{dy}{y} \\ &\Rightarrow log\, x=-log\, y+log\, C \\ &\Rightarrow log\, x+log\, y= C \\ &\Rightarrow log\, xy=log\, C \\ &\therefore xy=C \end{aligned}

So, the answer is xy = C

Posted by

Gurleen Kaur

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