Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
eshen
Group Title
1. Consider the differential equation x4y′′ − x3y′ = 8.
(b) Show that Ax^2 + 1 + B is a solution to the equation, where A and B are x^2
￼constants.
 one year ago
 one year ago
eshen Group Title
1. Consider the differential equation x4y′′ − x3y′ = 8. (b) Show that Ax^2 + 1 + B is a solution to the equation, where A and B are x^2 ￼constants.
 one year ago
 one year ago

This Question is Open

enano9314 Group TitleBest ResponseYou've already chosen the best response.0
I would make the coefficient in front of the y'' a 1, and then use u=y' to reduce it to a first order differential equation. And then use a simple integrating factor technique
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.1
What is part (a)?
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.1
One way I can think of is to make the left side looks like the CauchyEuler equation.. \[ x^4y′′ − x^3y′ = 8\]\[ x^2y′′ − xy′ = \frac{8}{x^2}\]Set the left =0 \[\lambda (\lambda 1)  \lambda = 0\]\[\lambda = 0, 2\]\[y_c = c_1x^2+c_2\]And then find the particular solution.
 one year ago

eshen Group TitleBest ResponseYou've already chosen the best response.0
Thanks a bunch!
 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.