Solve each of the initial value problems. Clearly label the general solution, and then the particular solution that solves the IVP. If there are no initial conditions, then feel free to just give the general solution. (a) y" - 2y'-3y = 3e², y(0) = 0, y'(0) = 1 (b) y" -3y' -4y = t +5, y(0) = −1, y'(0) = 0

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Solve each of the initial value problems. Clearly label the general solution, and then the particular solution
that solves the IVP. If there are no initial conditions, then feel free to just give the general solution.
(a) y" - 2y'-3y = 3e², y(0) = 0, y'(0) = 1
(b) y" -3y' -4y = t +5, y(0) = −1, y'(0) = 0
Transcribed Image Text:Solve each of the initial value problems. Clearly label the general solution, and then the particular solution that solves the IVP. If there are no initial conditions, then feel free to just give the general solution. (a) y" - 2y'-3y = 3e², y(0) = 0, y'(0) = 1 (b) y" -3y' -4y = t +5, y(0) = −1, y'(0) = 0
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