In: Math
The following DEs are not solvable as written. Perform the given variable change to turn them into something that you are equipped to solve (e.g. either linear, separable or exact) and then find the general solution. Your answer should be in the form y(x)=...y(x)=...
a) dydx=x2+y2−2xydydx=x2+y2−2xy using u=y−xu=y−x
b) xdydx−y=x2−y2−−−−−−√x>0xdydx−y=x2−y2x>0 using u=yxu=yx
c) dydx=y(xy3−1)dydx=y(xy3−1) using u=1y3