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Differential Equations

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Moderate

Solutions of ODEs Using Laplace Transforms 4

DIFFEQ-NSBVNY

Solve the IVP below using the Laplace transform:

$$y'-7y=49t, \ y(0)=2$$

A

$$y= e^{7t} -7t +1$$

B

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

C

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

D

$$y=3 e^{7t} +7(t-7) +49$$