Cauchy problem for a second-order ordinary differential equation with a continual derivative
Beslan Igorevich Efendiev
Abstract
Beslan Igorevich Efendiev
Abstract
For a second order linear ordinary differential equation with a continual derivative, we construct a fundamental solution. By using the fundamental solution, we find the solution of the Cauchy problem for the considered equation.
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For a second order linear ordinary differential equation with a continual derivative, we construct a fundamental solution. By using the fundamental solution, we find the solution of the Cauchy problem for the considered equation.
Key concepts: Mathematics, Ordinary differential equation, Cauchy boundary condition, Cauchy problem, Exact differential equation, Initial value problem, Bernoulli differential equation, Mathematical analysis