Solve the initial value problem below using the method of laplace transforms.y″+2y′−3y=0, y(0)=1,y′(0)=9

Name: Solve the initial value problem below using the method of laplace transforms.y″+2y′−3y=0, y(0)=1,y′(0)=9
Uploaded: 2022-02-23T17:22:57+00:00
Description: Solve the initial value problem below using the method of laplace transforms.y″+2y′−3y=0, y(0)=1,y′(0)=9

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Solve the initial value problem below using the method of laplace transforms.y″+2y′−3y=0, y(0)=1,y′(0)=9

Himin1945 · Accepted Answer

y″+2y′−3y=0, y(0)=1, y′(0)Taking Laplace transforamtion on both sidesL{y″}+2L{y′}−3L{y}=0Laplace transformation derivatives defineL{y}=s+11s2+25−3=5+11(s−1)(s+3)L{y}=3s−1−2s+3y(t)=3et−2e−3t

Solve the initial value problem below using the method of laplace transforms.y″+2y′−3y=0, y(0)=1,y′(0)=9

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