- #1
retracell
- 22
- 0
Homework Statement
Find a general solution to [tex]\frac{d^2x}{dt^2}-2\frac{dx}{dt}=1-4t+e^t[/tex]
Homework Equations
None really.
The Attempt at a Solution
I know that a complimentary solution is [tex]x=c_1+c_2e^{2t}[/tex]
But when I try to guess say: [tex]x_p=At+B+Ce^t[/tex] and plug into the DE, I do not get anything to equate to 4t. Do I have to guess a degree higher? And if so, do I include all coefficients such that my guess becomes [tex]x_p=At^2+Bt+C+De^t[/tex]?