Recent content by younginmoon

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    Solution of the nonlinear 2nd order differential equation

    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...
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    Solution of the nonlinear 2nd order differential equation

    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...
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    Graduate Solution to the nonlinear 2nd order d.e

    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...
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    Graduate Solution to the nonlinear 2nd order d.e

    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