$\frac{dy}{dt}-y=1,y(0)=0$

$2\frac{dy}{dt}+y=0,y(0)=-3$

$y^{\text{'}}+6y=e^{4t},y(0)=2$

$y^{\text{'}}-y=2cos5t,y(0)=0$

$y^{\text{'}\text{'}}+5y^{\text{'}}+4y=0,y(0)=1,y^{\text{'}}(0)=0$

$y^{\text{'}\text{'}}-4y^{\text{'}}=6e^{3t}-3e^{-t},y(0)=1,y^{\text{'}}(0)=-1$

$y^{\text{'}\text{'}}+y=\sqrt[\phantom{2}]{2}sen\sqrt[\phantom{2}]{2}t,y(0)=10,y^{\text{'}}(0)=0$

$y^{\text{'}\text{'}}+9y=e^t,y(0)=0,y^{\text{'}}(0)=0$

$2y^{\text{'}\text{'}\text{'}}+3y^{\text{'}\text{'}}-3y^{\text{'}}-2y=e^{-t},y(0)=0,y^{\text{'}}(0)=0,y^{\text{'}\text{'}}(0)=1$

$y^{\text{'}\text{'}\text{'}}+2y^{\text{'}\text{'}}-y^{\text{'}}-2y=sen3t,y(0)=0,y^{\text{'}}(0)=0,y^{\text{'}\text{'}}(0)=1$