grandes-ecoles 2021 Q23

grandes-ecoles · France · centrale-maths2__psi Second order differential equations Solving homogeneous second-order linear ODE

Let two real numbers $a$ and $c$ such that $c \in D$. Determine the solutions expandable as power series of the differential equation $$x y''(x) + (c - x) y'(x) - a y(x) = 0.$$ We will express these solutions using the Pochhammer symbol and specify the algebraic structure of their set.

Let two real numbers $a$ and $c$ such that $c \in D$. Determine the solutions expandable as power series of the differential equation
$$x y''(x) + (c - x) y'(x) - a y(x) = 0.$$
We will express these solutions using the Pochhammer symbol and specify the algebraic structure of their set.

Paper Questions

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