Differential Equations

[Abrar nawaiseh]

I need answer for these questions

 

[tkhunny]

Awesome. Show us what you are doing and maybe we can figure out where you are stuck.

 

[Deleted member 4993]

I need answer for these questions

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this problem.

 

[HallsofIvy]

First, are you taking a course in differential equations? If so then you surely should know how to solve "homogeneous linear differential equations with constant coefficients".

Problem 22 has the equation y''''+ 4y''+ 4= 0. The associated "characteristic equation" is $r^4+ 4r^2+ 4= 0$. What are the four roots to that equation (not all distinct)? So what is the general solution to the differential equation.