Ordinary Differential Equations/Substitution 3

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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}