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gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{ dy }{ dx } = (x + 4y  1)^{2}\]
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
@jim_thompson5910 can u help me?
 2 years ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.0
dw:1353368437237:dw
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
i'm sorry @ksaimouli , but i cannot see clearly
 2 years ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.0
do u want to solve for dy/dx
 2 years ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.0
use chain rule
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
how to find y ??
 2 years ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.0
then how do u find x ?
 2 years ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.0
nothing but 1 dx/dxso y =1 dy/dx
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
ok.., is it use separable equation or linear?
 2 years ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.0
it is linear no need to find y until they mentioned y=something u will find it in optimization
 2 years ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.0
hold on is this integration
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
ok i'll try., :)
 2 years ago

saifoo.khan Group TitleBest ResponseYou've already chosen the best response.0
You have to differentiate it? Right?
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
i have to find the solution of differential equations...,
 2 years ago

saifoo.khan Group TitleBest ResponseYou've already chosen the best response.0
Meaning you have to differentiate that equation?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
dy/dx= (x + 4y  1)^{2} u = x+4y1 du/dx = 1 + 4dy/dx so, dy/dx = (1/4)*(du/dx 1) (1/4)*(du/dx 1) = u^2 du/dx = 4u^2 +1 now variables are easily seperable.
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
@hartnn
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{ du }{ dx } = 4u^{2} + 1\] \[\int\limits \frac{ du }{ 4u^{2}+1 } = \int\limits dx\] \[\int\limits \frac{ du }{ (2u)^{2}+1 } = \int\limits dx\] \[\tan^{1} (2u) = x\] \[\tan^{1} (x+4y1) = x\] \[\tan x = x +4y1\] \[4y = \tan x  x + 1\] \[y = \frac{ \tan x  x + 1 }{ 4 }\] am i right @hartnn ??
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
oh i'm sorry, i made a mistake...,
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
tan^1 2u /2 this ?
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
\[\tan^{1} (2(x+4y1)) = x\] \[\tan^{1} (2x+8y2)) = x\] \[\tan x = 2x + 8y  2\] \[y = \frac{ \tan x  2x + 2 }{ 8 }\]
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
the coefficient is divided, not multiplied.
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
(tann^1.... )/2
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
tan2x = x+4y1 + c don't forget +c
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
ok \[\tan 2x = x + 4y 1 + C\] \[y = \frac{ \tan 2x  x + 1  C }{ 4 }\] is it right ?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
yes, seems correct now :)
 2 years ago

gerryliyana Group TitleBest ResponseYou've already chosen the best response.1
yes i got it.., Thanks a lot. I appreciate all your help :)
 2 years ago
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