Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Find the general solution:
\[(3+y+2y^2\sin^2 x)dx + (x+ 2xy y\sin 2x)dy=0\]
 one year ago
 one year ago
Find the general solution: \[(3+y+2y^2\sin^2 x)dx + (x+ 2xy y\sin 2x)dy=0\]
 one year ago
 one year ago

This Question is Closed

lgbasalloteBest ResponseYou've already chosen the best response.0
\[\frac{\partial M}{\partial y} = 1 + 4y\sin^2 x\] \[\frac{\partial N}{\partial x} = 1 + 2y  2y\cos 2x\] so i guess tis isnt exact? or did i do something wrong?
 one year ago

A.Avinash_GouthamBest ResponseYou've already chosen the best response.1
wait wat's 1cos2x?
 one year ago

A.Avinash_GouthamBest ResponseYou've already chosen the best response.1
it's 2sin^2x......it's exact
 one year ago

A.Avinash_GouthamBest ResponseYou've already chosen the best response.1
u kno 1cos2x = 2sinx*sinx
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
oh i see your point
 one year ago

A.Avinash_GouthamBest ResponseYou've already chosen the best response.1
actually um wateva u call it it's root((1cos2x)/2) = sinx
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
\[\int (3+y+2y^2 \sin^2 x)dx\] \[3x + xy + y^2(x  \sin x \cos x)\]
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
then i take derivative of y
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
\[x + 2yx  2y\sin x\cos x + g'(y) = x+2xy  y\sin 2x\] \[g'(y) = 2y\sin x \cos x  y\sin 2x\] \[g(y) = 2\sin x \cos x  \sin 2x\] so the G.S. would be \[3x + xy + y^2(x  \sin x \cos x) + 2\sin x \cos x  \sin 2x + C\] correct?
 one year ago

A.Avinash_GouthamBest ResponseYou've already chosen the best response.1
u kno there's a direct solution for exact equations
 one year ago

A.Avinash_GouthamBest ResponseYou've already chosen the best response.1
i dont remember xactly but it's smthin llike integrate m(x,y) keeping y/x as a constant = integrate n(x,y) not containing terms of x/y + c
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
oh that..yeah...im more comfortable with this though
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
im more comfortable when the solution is one thread instead of inconsistent
 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.