It's a Bernoulli Equation.
LaTex appears to not be working so ill type normally.
Should and can the equation below be solved using the y'=v+xv', y=vx substitution method? I try to do so and i get stuck halfway through.
-2y'+(4y/x)=y^3/x
-2(v+xv')+(4vx/x)=(v^3x^3)/x
-2v-2xv'+4v=v^3x^2
-2xv'+2v=v^3x^2
-2xv'=v^3x^2-2v
v'=-(v^3x^2-2v)/2x
Thats where i get stuck. Ive tried other ways but i still get stuck.
Thanks in advance for the help.
Ok thank you. I managed to figure that one out. Took me a while but thanks for your input. But now im stuck at another question.
So I tried to check if it was homogenous using and I concluded its not homogenous. Is that right?
I attempted to rearrange it and work it out as a Bernoulli equation but still I didnt get to the correct answer. Any guidance to which method I should be trying?