- #1
FeynmanIsMyHero
- 2
- 0
Hi,
I'm having trouble with this ODE:
y' + 4xy - y^2 = 4x^2 - 7
=> y' = 4x^2 - 4xy + y^2 - 7
= (2x - y)^2 - 7
=> x(dv/dx) + v = (2x-vx)^2 - 7
= x^2(2-v)^2 - 7
I assume this ODE is of the homogeneous type, so I've substituted v=y/x and gotten thus far, but, what's the next step?
I'm having trouble with this ODE:
y' + 4xy - y^2 = 4x^2 - 7
=> y' = 4x^2 - 4xy + y^2 - 7
= (2x - y)^2 - 7
=> x(dv/dx) + v = (2x-vx)^2 - 7
= x^2(2-v)^2 - 7
I assume this ODE is of the homogeneous type, so I've substituted v=y/x and gotten thus far, but, what's the next step?