Ordinary Differential Equations/Substitution 3

Solve the following differential equations via substitution methods. For some, you will have to come up with your own method.

1) $y'=csc(x+y)-1$

2) $y'=csc({\frac {y}{x}})+{\frac {y}{x}}$

3) $ycos(y^{2})y'-sin(y^{2})=0$

4) $y'=yln(y)+y$

5) $y'=(x^{2}+y-1)^{2}-2x$

6) $y'={\frac {x^{2}}{y^{2}}}+{\frac {y}{x}}$