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  3. given the differential equation y′′-3y

Given the differential equation y′′-3y′-4y=-2sin(2t),  y(0)=-1,  y′(0)=1 Apply the Laplace Transform and solve for Y Y(s)=L{y} Y(s)=    L(y′)=sY(s)-y(0)and L(y′′)=s2Y(s)-y′(0)-sy(0)

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Advance Math

Given the differential equation

y′′-3y′-4y=-2sin(2t),  y(0)=-1,  y′(0)=1

Apply the Laplace Transform and solve for Y

Y(s)=L{y}

Y(s)=   

L(y′)=sY(s)-y(0)and L(y′′)=s2Y(s)-y′(0)-sy(0)

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