Obtain-the-differential-equation-associated-with-the-primitive-y-Ae-2x-Be-x-C-Mastermind-

Question Number 169342 by Mastermind last updated on 29/Apr/22

O b t a i n t h e d i f f e r e n t i a l e q u a t i o n

a s s o c i a t e d w i t h t h e p r i m i t i v e

y = {A e}^{2 x} + {B e}^{x} + C

M a s t e r m i n d

Answered by cortano1 last updated on 29/Apr/22

y^{'} = 2 {A e}^{2 x} + {B e}^{x}

y^{″} = 4 {A e}^{2 x} + {B e}^{x}

2 y^{'} = 4 {A e}^{2 x} + 2 {B e}^{x}

y^{″} = 4 {A e}^{2 x} + {B e}^{x}

\Rightarrow 2 y^{'} - y^{″} = {B e}^{x}

Facebook Tweet Pin