Email
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

Solve : $\large\frac{dy}{dx}$$=\sqrt {16 x^2 y -4x^2 y^2}\qquad y(2)=1$

$(a)\;y=2 \sin ^2 (x+c) \\ (b)\;y= 4 \sin ^2 (x+c) \\ (c)\;y= 2 (1- \sin (x^2+c)) \\ (d)\;y= 2 (1- \sin x)+c $

1 Answer

Comment
A)
$\large\frac{dy}{dx}$$=2 x \sqrt {4y-y^2}$
$\large\frac{dy}{\sqrt {4y-y^2}}$$=2x dx$
$\large\frac{dy}{\sqrt {4 -(y-2)^2}}$$=2xdx$
$\sin ^{-1} \bigg(\large\frac{y-2}{2}\bigg)=\large\frac{2x^2}{2}$$+c$
$y-2= 2 \sin (x^2+c)$
$y= 2 ( 1- \sin (x^2+c))$
Hence c is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
...