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  • Provide solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 18

Provide solution for RD Sharma maths class 12 chapter 21 Differential Equation exercise Fill in the blank question 18

Answers (1)

Answer:

 x=C\, sec\, y

Hint:

 Integrating both sides

Given:

 cot \, y\, dx=x\, dy

Solution:

cot \, y\, dx=x\, dy

Separate the variable and integrating both sides, we get

\begin{aligned} &\int \frac{1}{x}dx=\int tan\, y\, dy \end{aligned}

\begin{aligned} &\Rightarrow log\, x=log\left | sec\, y \right |+log\, C \\ &\Rightarrow log\frac{x}{sec\, y}=log \, C \\ &\Rightarrow \frac{x}{sec\, y}= C \\ &\Rightarrow x=C\, sec\, y \end{aligned}

So, the answer is C sec y

Posted by

Gurleen Kaur

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