If , show…

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

14. If

y=\mathrm{A} e^{m x}+\mathrm{B} e^{n x}

, show that

\frac{d^{2} y}{d x^{2}}-(m+n) \frac{d y}{d x}+m n y=0