thx a lot hallsofivy... i try go search the web again.. i found out a similar situation with this. the special ricatti equation and i totally gone blur after seeing it.. comparing with your answer i get more confused.
http://eqworld.ipmnet.ru/en/solutions/ode/ode0106.pdf
the website show the...
after some tries.. i get d^2u/dx^2 + ux^2 = 0.
how to get the general solution for tis 1?
i check the website.. by using power series.. can any1 show me how? thanks for the help
i try to reduce it using substitution y = 1/u(du/dx)
dy/dx = -1/u^2(dy/dx)^2 + 1/u(d^2u/dx^2)
substitute into the equation i get
d^2u/dx^2 = ux^2 + 2/u(du/dx)^2
thx for the help.. however, for the website there, i try to reduce the equation into
d^2u/dx^2 + x^2u = 0
but i fail.. mind if u show all the step to get the equation?
and how to solve that using power series? i haven learn power series yet... thanks for the help
dy/dx = x^2 + y ^ 2
find general solution for this differential equation...
thx for ur help and pls show the step taken and method use ya..
thank you very much..