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Differential Equations

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Solutions of ODEs Using Laplace Transforms 3

DIFFEQ-LYBJIN

Solve the IVP below using the Laplace transform:

$$y'-3y=5, \ y(0)=2$$

A

$$y=2 e^{3t}$$

B

$$y=\frac{11}{3}e^{3t} - \frac{5}{3}$$

C

$$y=\frac{1}{3}e^{3t} + \frac{5}{3}$$

D

$$y=\frac{7}{3}e^{3t} - \frac{1}{3}$$