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  • Form the differential equation representing the family of curves  by eliminating the arbitrary constant A.   <div style="

Form the differential equation representing the family of curves y= A\sin x, by eliminating the arbitrary constant A.

 

 

 

 
 
 
 
 

Answers (1)

y= A\sin x
\Rightarrow y\, cosec x= A
\Rightarrow \frac{dy}{dx}\times cosec \, x+y\left ( -cosec\, x\cot x \right )= 0
\therefore \frac{dy}{dx}= y\cot x

Posted by

Ravindra Pindel

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