Answer to Question #243687 in Differential Equations for Mohammed

Question

_d²_y/dx²_{-4 dy/dx+4y=o}

Answer 1

Characteristic equation: $r^2-4r+4=0$ or $(r-2)^2=0.$

Thus, $r=2.$

General solution of DE: $C_1 e^{2x}+C_2xe^{2x}$ .