Asked by This is fine

Find the general solution for differential equation

(D4 - 5D3 + 5D2 + 5D - 6)y = 0

Answers

Answered by This is fine
I uh kinda need help
Answered by oobleck
The characteristic polynomial is just
x^5-5x^3+5x^2+5x-6
So, solve that to get the exponentials. There are 3 real roots and 2 complex roots, so there will be 3 terms involving e^kx and two with sin kx and cos kx

Review your section on homogeneous DEs and characteristic polynomials. Also, google will provide many discussions and examples.
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions