# Linear equations questions and answers

Recent questions in Second order linear equations

### I'm trying to find the general solution to: $$\displaystyle{y}{''}+{4}{y}={t}^{{2}}+{7}{e}^{{t}}$$ The actual problem wants me to find the initial value problem with y(0) = 0 and y'(0) = 2 but I'm confident that I can find the IVP after finding the general solution. What I DO need help with is this: I'm trying to set $$\displaystyle{Y}{\left({t}\right)}={A}{t}^{{2}}+{B}{t}+{C}$$ and solving for A, B, and C for a specific solution but I find two different values for A. (1/4, and 0). I did solve for $$\displaystyle{e}^{{t}}$$ and found the answer to be 7/5.

Minerva Kline 2021-11-20

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