Thank you for the reply.
However, the only method I know to solve this kind of depressed cubic equation is the so-called Cardino formula that becomes a monster when you write it down by following the formula, and it's impossible to integrate. Just try to spread out the formula and apply each...
Homework Statement
I'd like to solve the following non-homogeneous second order differential equation and may
I ask smart scholars out there to help me with this?
y"(1-1.5(y')^2)=Cx^n, (^ denotes "to the power of")
where C and n are constants, and the boundary conditions are:
y=0...
Thanks!
Starting with v=y', the original equation becomes
v + A v^3 = B x^C (A, B & C are constants) and the solution is composed of complimentary and particular integrals. But, how do you handle with the cubic term (v^3)
in both integrals? Or is there another solution method...
Hello:
Can anyone help me solve with the following nonlinear 2nd order differential equation?
d^2 y/dx^2 (1+a(dy/dx)^2)=bx^c
(a,b & c are constants.)
Thank you.
younginmoon