8. [23 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQMODAP'I'E 2.3.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the general solution of the given differential equation. 1/ + 4x3y = x3 yixi=ICe_x4+I11I 3: Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.) I(_OO:OO) v" Determine whether there are any transient terms in the general solution. (Enter the transient terms as a commaeseparated list; if there are none, enter NONE.) 4 Cex J Need Help? _ 9. [15 Points] DETAILS ZILLDIFFEQMODAP'I'I 2.3.011.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following differential equation. x+6y:x3-x ax Find the coefcient function P(x) when the given differential equation is written in the standard form gt + P(x)y = x). x P(x) : EM: Responsel Find the integrating factor for the differential equation. elpmd" = (No Response) Find the general solution of the given differential equation. rix) = Give the iargest interval 1 over which the general solution is dened. (Think about the implications of any singular points. Enter your answer using interval notation.) (No Response) Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.) (No Response) Need Help? 10. [-12 Points] DETAILS ZILLDIFFEQMODAP11 2.3.025.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Solve the given initial-value problem. d\"=x+4y. y(0)=2 o'x y(x) = (No Response) Give the largest interval 1 over which the solution is defined. (Enter your answer using interval notation.) I: Need Help