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\[\frac{ dy }{ dx } = (x + 4y - 1)^{2}\]

@jim_thompson5910 can u help me?

|dw:1353368437237:dw|

i'm sorry @ksaimouli , but i cannot see clearly

do u want to solve for dy/dx

use chain rule

how to find y ??

then how do u find x ?

nothing but 1 dx/dxso y =1 dy/dx

ok.., is it use separable equation or linear?

it is linear no need to find y until they mentioned y=something u will find it in optimization

hold on is this integration

ok i'll try., :)

You have to differentiate it? Right?

i have to find the solution of differential equations...,

Meaning you have to differentiate that equation?

yes

oh i'm sorry, i made a mistake...,

tan^-1 2u /2
this ?

the co-efficient is divided, not multiplied.

(tann^-1.... )/2

tan2x = x+4y-1 + c
don't forget +c

ok
\[\tan 2x = x + 4y -1 + C\]
\[y = \frac{ \tan 2x - x + 1 - C }{ 4 }\]
is it right ?

yes, seems correct now :)

yes i got it..,
Thanks a lot. I appreciate all your help :)

welcome ^_^