If y= Aemx+Benx, then prove that d2ydx2-(m+n)dydx+(mn)y = 0 - Maths - Matrices

Question

If y= A e m x + B e n x ,   t h e n   p r o v e   t
h a t   d 2 y d x 2 - ( m + n ) d y d x + ( m n ) y   =
  0

Ayushi Chaurasiya · Accepted Answer

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If y= A e m x + B e n x , t h e n p r o v e t h a t d 2 y d x 2 - ( m + n ) d y d x + ( m n ) y = 0

If y= $A e^{m x} + B e^{n x}, t h e n p r o v e t h a t \frac{d^{2} y}{d x^{2}} - (m + n) \frac{d y}{d x} + (m n) y = 0$