(Solved): Solve the differential equation. 7. \( y^{\prime}-3 y=0 \) 8. \( y^{\prime}+4 y=2 \) 9. \( y^{\prim ...

Solve the differential equation. 7. \( y^{\prime}-3 y=0 \) 8. \( y^{\prime}+4 y=2 \) 9. \( y^{\prime}+y \cos 2 x=\cos 2 x \) 10. \( x y^{\prime}+3 x y=6 x^{3}-4 x \) 11. \( y^{\prime}-2 t y=2 t \) 12. \( \left(t^{2}+1\right) y^{\prime}+2 t y=t^{3}+t \) 13. \( y^{\prime}-y=e^{t} \) 14. \( y^{\prime}+4 t^{3} y=4 t^{4} e^{-t^{4}} \) 15. \( x^{2} y^{\prime}-4 x y=x^{7} e^{x^{2}}+3 x^{5}-6 \) 16. \( x y^{\prime}+y=x \sin x \) 17. \( x y^{\prime}+3 y=x \ln x \)