the-particular-integral-of-the-differential-equation-f-D-y-e-ax-where-f-D-D-a-g-D-g-a-0-is-

Tinku Tara June 4, 2023 Differentiation 0 Comments

Question Number 23522 by gopikrishnan005@gmail.com last updated on 01/Nov/17

the particular integral of the differential equation f(D)y=e^(ax) where f(D)=(D−a)g(D),g(a)≠0 is

$${the}\:{particular}\:{integral}\:{of}\:{the}\:{differential}\:{equation}\:{f}\left({D}\right){y}={e}^{{ax}} {where}\:{f}\left({D}\right)=\left({D}−{a}\right){g}\left({D}\right),{g}\left({a}\right)\neq\mathrm{0}\:{is} \\ $$

Commented by 1kanika# last updated on 26/Nov/17

$$\mathrm{xe}\Lambda\mathrm{ax}/\mathrm{g}\left(\mathrm{a}\right) \\ $$

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