变系数二阶齐次线性方程在一定条件下的解

The Solution of Second-order Homogeneous Linear ODE with Variable Coefficients Under Certain Condition

考察了变系数二阶齐次线性方程a(x)y″+b(x)y′+c(x)y=0(1)得到了方程在满足条件a(x)α2+b(x)α+c(x)=0时的通解.

we considered the second-order homogeneous linear ODE with variable coefficients a(x)y″+b(x)y′+c(x)y=0(1)and got general solution when it meet the condition a(x)α2+b(x)α+c(x)=0.