Answer Happy

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)∫y12​(x)e−∫P(x)dx​dx as instructed, to find a second solution y2​(x). y′′−10y′+25y=0;y1​=e5x y2​=C1​e5x+Ce​xe5x