LINEAR DIFFERENTIAL EQUATION OF ORDER ONE Directions: Find the solution to the following differential equations: 1. $y* {\prime) =\csc x-y \cot x$ 2. $t\left(\frac{d xHd t} ight)=6 t e^{2 t}+x(2 t-1)$ 3. $d y=(x-3y) d x$ 4. $\left(2 x ytx^{2}+x^{4} ight) d x-\left(1+x^{2} ight) d y=0$ 5. $\left(x^{4}+2 y ight) d x-x d y=0$ 6. $(3 x y+3y-4) d x+(x+1)^{2} d y=0$ 7. $\frac x d y d x}+2 y=x^{3}$ 8. $\frac{d y}d x}+\frac{1}x} y=x^{3}-3$ 9. $\frac{d y}{d x}+\frac{3}{y} x=2 y$ 10. $\fracy d x}(d y}-2 x=3 y^{2}-2; y=1$ when $x=1$ 11. $x^{2} \frac{d y}d x)-2 x y=x^{4}+3 ; y=2$ when $x=1$ SP.SD.418