Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

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

gerryliyanaBest ResponseYou've already chosen the best response.1
@jim_thompson5910 can u help me?
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
dw:1353368437237:dw
 one year ago

gerryliyanaBest ResponseYou've already chosen the best response.1
i'm sorry @ksaimouli , but i cannot see clearly
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
do u want to solve for dy/dx
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
then how do u find x ?
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
nothing but 1 dx/dxso y =1 dy/dx
 one year ago

gerryliyanaBest ResponseYou've already chosen the best response.1
ok.., is it use separable equation or linear?
 one year ago

ksaimouliBest 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
 one year ago

ksaimouliBest ResponseYou've already chosen the best response.0
hold on is this integration
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.0
You have to differentiate it? Right?
 one year ago

gerryliyanaBest ResponseYou've already chosen the best response.1
i have to find the solution of differential equations...,
 one year ago

saifoo.khanBest ResponseYou've already chosen the best response.0
Meaning you have to differentiate that equation?
 one year ago

hartnnBest 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.
 one year ago

gerryliyanaBest 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 ??
 one year ago

gerryliyanaBest ResponseYou've already chosen the best response.1
oh i'm sorry, i made a mistake...,
 one year ago

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

hartnnBest ResponseYou've already chosen the best response.1
the coefficient is divided, not multiplied.
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
tan2x = x+4y1 + c don't forget +c
 one year ago

gerryliyanaBest 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 ?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
yes, seems correct now :)
 one year ago

gerryliyanaBest ResponseYou've already chosen the best response.1
yes i got it.., Thanks a lot. I appreciate all your help :)
 one year ago
See more questions >>>
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.