Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
MathSofiya
Group Title
\[y''+6y'+9y=1+x\]
\[r_1=r_2=3\]
\[y_c=c_1e^{3x}+c_2xe^{3x}\]
\[y_p(x)=Ax+B\]
\[y_p'(x)=A\]
\[y_p''(x)=0\]
\[0+(9A)x+(6A+B)=1+x\]
\[A=\frac19\]
\[B=\frac13\]
\[y_p(x)=\frac19x+\frac13\]
\[y(x)=c_1e^{3x}+c_2e^{3x}+\frac19x+\frac13\]
how did I do?
 one year ago
 one year ago
MathSofiya Group Title
\[y''+6y'+9y=1+x\] \[r_1=r_2=3\] \[y_c=c_1e^{3x}+c_2xe^{3x}\] \[y_p(x)=Ax+B\] \[y_p'(x)=A\] \[y_p''(x)=0\] \[0+(9A)x+(6A+B)=1+x\] \[A=\frac19\] \[B=\frac13\] \[y_p(x)=\frac19x+\frac13\] \[y(x)=c_1e^{3x}+c_2e^{3x}+\frac19x+\frac13\] how did I do?
 one year ago
 one year ago

This Question is Closed

dumbcow Group TitleBest ResponseYou've already chosen the best response.1
pretty good...i only see 1 thing it should be 0+(9A)x +(6A+9B) = 1+x 9(Ax +B) = (9A)x + 9B it only changes the B value to 1/27
 one year ago

MathSofiya Group TitleBest ResponseYou've already chosen the best response.1
oh thank you! silly me....hihi
 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.