The Formulas for Solution of One Class of Linear Differential Equations of the Second Order with the Variable Coefficients

In both theoretical and practical research, exact solutions for linear and nonlinear differential equations are crucial. Many studies have focused on discovering a formula for solving second order linear differential equations with variable coefficients. We found the formula for the common solution of the second-order linear differential equation with variable coefficients in the more common case in this study. We also discovered a new formula for solving the Cauchy problem for a second-order linear differential equation with variable coefficients. Examples of how to use the resulting formula to solve secondorder linear differential equations are provided.

Author(s) Details

Avyt Asanov
Kyrgyz‐Turkish Manas University, Bishkek, Kyrgyzstan.

Kanykei Asanova
Institute of Mathematics, National Academy of Sciences of Kyrgyz Republic, Bishkek, Kyrgyzstan.

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