(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a particular solution of the given equation.

[tex] y^''' + 4y^' = 3x-1[/tex]

2. Relevant equations

[tex] r^3 + 4r = 0 [/tex]

[tex] r = 0, r = 2i, r = -2i[/tex]

3. The attempt at a solution

[tex]y(x) = Ax-B[/tex]

[tex]y^'(x) = A[/tex]

[tex]y^''(x) = 0[/tex]

[tex]y^'''(x) = 0[/tex]

The answer is:

[tex]y(x)=(3/8)x^2 - (1/4)x[/tex]

But I'm not sure how they came to this, please help!!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Diff Eq- Nonhomogeneous Equations

**Physics Forums | Science Articles, Homework Help, Discussion**