|
On the Solution for a Class of Second Order Nonlinear Ordinary Differential Equation with Variable Coefficients
Liu Chengqun, Luo Shiyu
1985, 4(3):
1-12.
In this paper, a second order nonlinear differential equation with variable coefficients y"+f(x,y)y'2+φ(x,y)y'+ψ(x,y)=0 was reduced to a linear equation Y"+b2Y'+b2Y+b3=0 by using a transformation Y=ye-v(x,y),dX=eu(x,y)dx; The sufficient and necessary conditions for the transformation were discussed and the formula of the general solution was given. Several kinds integral were obtained.
Related Articles |
Metrics
|