- #1
cse63146
- 452
- 0
Homework Statement
Find the general solution of [tex]\frac{dy}{dt} + 2y = 3t^2 + 2t -1[/tex]
Homework Equations
The Attempt at a Solution
So just worrying about the right side
[tex]y_p = at^2 + bt + c[/tex]
so [tex]\frac{dy_p}{dt} + y_p = 2at + b +at^2 + bt + c = 3t^2+2t - 1[/tex]
[tex]at^2 = 3t^2 \rightarrow a =3[/tex]
[tex]2(3)t + bt = 2t \rightarrow b = -4[/tex]
[tex](-4) + c = -1 \rightarrow c = 3[/tex]
Is that part right?