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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 6T
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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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