Hew Method to Solve the Second Order Linear Differential Equation
Xiaoli Zhang
Abstract
Xiaoli Zhang
Abstract
A new solution to the second variable coefficient linear differential equation is worked out. Under the given conditions, through transforming the second linear differential equation into a variable seperative equation and pointing out the function change in this transformation, the paper obtains some new and practical integrabel criterions and integrabel types of second variable linear differential equation, and thus extends the predecessor's integrabel conclusions and the quadrature range of differential equation.
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A new solution to the second variable coefficient linear differential equation is worked out. Under the given conditions, through transforming the second linear differential equation into a variable seperative equation and pointing out the function change in this transformation, the paper obtains some new and practical integrabel criterions and integrabel types of second variable linear differential equation, and thus extends the predecessor's integrabel conclusions and the quadrature range of differential equation.
Key concepts: Linear differential equation, Homogeneous differential equation, First-order partial differential equation, Mathematics, Differential equation, Exact differential equation, Universal differential equation, Variable (mathematics)