Question

5y''+y'=-6x

Answer 1

sorry its a undetermined coefficient problem

Answer 2

Were you able to find the complimentary solution ok? :)

Answer 3

subtract y on both sides first and divide by the number thats in front of the variable

Answer 4

yes

Answer 5

\[5r^2+r=0\]\[r(5r+1)=0\]\[r=0,r=-1/5\]\[\large y_c=c_1e^0+c_2e^{\frac{ -1 }{ 5 }x}=c_1+c_2e^{\frac{ -1 }{ 5 }x}\]

Ok lemme make sure we're on the same page :D is that what you came up with for the complimentary part?

Answer 6

yes thats what I got, and is the Yp=6x?

Answer 7

Ok here is how we want to approach the particular solution, let me know if it's confusing :O