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(Solved): Use the reduction of order to find the general solution of the given differential equation. Here, th ...
Use the reduction of order to find the general solution of the given differential equation. Here, the indicated function y_(1)(x) is solution of the associated homogeneous equation.
y^('')-3y^(')-4y=2e^(-x),y_(1)(x)=e^(-x)
If you do not use the reduction of order, you do not get full score.
y(x)=C_(1)e^(-x)+C_(2)e^(4x)-(2)/(5)xe^(-x)
y(x)=C_(1)e^(-x)+C_(2)e^(4x)+xe^(-x)
y(x)=C_(1)e^(-x)+C_(2)e^(4x)
y(x)=C_(1)e^(-x)+C_(2)e^(4x)+(2)/(5)xe^(-x)