A community for students.
Here's the question you clicked on:
 0 viewing
yanyaro
 2 years ago
Solve by reduction of order:
yy''=3y'^2
The answer the book has is y=(c1*x+c2)^(1/2)
I can't figure out how to put it in standard form to get the above answer.
yanyaro
 2 years ago
Solve by reduction of order: yy''=3y'^2 The answer the book has is y=(c1*x+c2)^(1/2) I can't figure out how to put it in standard form to get the above answer.

This Question is Open

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0do you have a solution ?

yanyaro
 2 years ago
Best ResponseYou've already chosen the best response.0No, I'm not sure how to go about doing this problem :/ I know that for a homogeneous 2nd order ODE, the solution is y=c1y1+c2y2 but since the above equation cannot be put in standard form I can't see how to solve it. I should add that the problem wants me to use reduction of order, where I first pick a y1 solution by inspection, then get y2 using: \[y_2=y_1u=y_1\int\limits_{}^{}U\;dx\] where \[U=\frac{ 1 }{ y^2 }e^{\int\limits_{}^{}p\;dx}\] I can do it for a regular problem but I'm lost on this one...

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0so first we need to find \(y_1\), a solution to the equation, i'm not sure how to do this
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.