1.
y=c_{1}e^{2t}+c_{2}e^{-t}-2t^{2}+3t-\frac{7}{2}
2.
y=c_{1}e^{3x}+c_{2}e^{x}+\cos(x)
3.
y=c_{1}e^{t}+c_{2}te^{t}+\cos(t)
4.
y=c_{1}\cos(\sqrt{3}t)+c_{2}\sin(\sqrt{3}t)+\frac{30}{7}e^{2t}
5.
y=e^{9t}(c_{1}\cos(2\sqrt{15}t)+c_{2}\sin(2\sqrt{15}t))+\frac{3}{32}e^{3t}
6.
y=c_{1}e^{x}+c_{2}+\frac{1}{2}\sin(x)+\frac{1}{2}\cos(x)
7.
y=c_{1}e^{-t}+c_{2}e^{-2t}+\frac{t^{2}}{2}-\frac{3t}{2}+\frac{7}{4}
8.
y=e^{-\frac{3x}{2}}(c_{1}\cos(\frac{\sqrt{11}x}{2})+c_{2}\sin(\frac{\sqrt{11}x}{2}))+\frac{2}{5}e^{-3x}
9.
y=c_{1}e^{t}+c_{2}e^{-2t}+9e^{2t}
10.
y=c_{1}e^{-2x}+c_{2}xe^{-2x}+x^{2}-4x+\frac{7}{2}
