Differential Equations/Substitution 3

Current revision (unreviewed)

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

1) $y' = c s c (x + y) - 1$

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

3) $y c o s (y 2) y' - s i n (y 2) = 0$

4) $y' = y l n (y) + y$

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

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