1.
y=\frac{e^{t}}{2}+11+\frac{c_{1}}{e^{t}}
2.
y=\frac{\tan(x)}{\sec(x)}+\frac{c_{1}}{\sec(x)}
3.
y=-\frac{\cos(2x)}{2\cos(x)}+\frac{c_{1}}{\cos(x)}
4.
y=e^{x^{2}}x+c_{1}e^{x^{2}}
5.
y=x^{2}+1-\frac{1}{e^{x}}
6.
y=\frac{x^{3}}{x^{2}+2x+1}+\frac{3x^{2}}{x^{2}+2x+1}+\frac{3x}{x^{2}+2x+1}+\frac{3}{x^{2}+2x+1}
7.
y=3e^{4t}+2e^{3t}
8.
y=\frac{3}{13e^{4x}}+\frac{88}{13}e^{\frac{x}{3}}
9.
y=-x-1+2e^{x}
10.
y=\frac{x}{2}+\frac{1}{2x}
