Answer to Question #306596 in Differential Equations for keke

Question

The indicated function y₁(x)

 is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,

y₂ = y₁(x) e^{−∫P(x) dx}

y2

1

(x)

dx

        (5)

as instructed, to find a second solution y₂(x).

y'' − 10y' + 25y = 0;    y₁ = e^5x