- #1
shorty1
- 16
- 0
I have a question that is stumping me. I'd be grateful on some assistance.
Show that the substitutions $z= ax + by + c$ changes $y' = f(ax + by + c)$ into an equation with separable variables. Hence, solve the equation $y' = (x+y)^2$.
(hint: $\int \frac{1}{(1 + u^2)}du = tan^{-1} u+c$)
I thought i could do this, but my working takes me nowhere near to the hint. Therefore I'm lost. Help please!![Confused :confused: :confused:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Show that the substitutions $z= ax + by + c$ changes $y' = f(ax + by + c)$ into an equation with separable variables. Hence, solve the equation $y' = (x+y)^2$.
(hint: $\int \frac{1}{(1 + u^2)}du = tan^{-1} u+c$)
I thought i could do this, but my working takes me nowhere near to the hint. Therefore I'm lost. Help please!