A community for students.
Here's the question you clicked on:
 0 viewing
gerryliyana
 3 years ago
solve dy/dx= (x + 4y  1)^{2}
gerryliyana
 3 years ago
solve dy/dx= (x + 4y  1)^{2}

This Question is Closed

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

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

ksaimouli
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353368437237:dw

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

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

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

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

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

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

ksaimouli
 3 years ago
Best ResponseYou've already chosen the best response.0hold on is this integration

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

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

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

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1dy/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.

gerryliyana
 3 years ago
Best 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 ??

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

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

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1the coefficient is divided, not multiplied.

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

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

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

gerryliyana
 3 years ago
Best ResponseYou've already chosen the best response.1yes i got it.., Thanks a lot. I appreciate all your help :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.