Question: Use Laplace Transforms to solve the initial value problem where [y^(')-2y=f(x),y(0)=0]f(x)={(3,0
Use Laplace Transforms to solve the initial value problem where [y^(')-2y=f(x),y(0)=0]f(x)={(3,0<=x and x<3):}4,3<=xy(x)={((3)/(2)e^(2x)-(3)/(2),0<=x and x<3):}(3)/(2)e^(2x)+2+(1)/(2)e^(-6+2x),3<=xy(x)={(-(3)/(2)e^(2x)+(3)/(2),0<=x and x<3):}(3)/(2)e^(2x)-2+(7)/(2)e^(-6+2x),3<=xy(x)={((3)/(2)e^(2x)+(3)/(2),0<=x and x<3):}(3)/(2)e^(2x)-2+(7)/(2)e^(-6+2x),3<=xy(x)={(-(3)/(2)e^(2x)+(3)/(2),0<=x and x<3):}(3)/(2)e^(2x)-2+(1)/(2)e^(-6+2x),3<=xy(x)={((3)/(2)e^(2x)-(3)/(2),0<=x and x<3):}(3)/(2)e^(2x)-2+(1)/(2)e^(-6+2x),3<=x
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