I'm trying to understand how the tutor used inverse operator there and what steps were skipped. Starting from Using PI of 1/ D-2 Q . Till how he got the answer using PI ofPT.eD-dどle2.=D2Cod ox dheD-2finst2.2eonP.I=3.4 Cab X Given the second order non-homogeneous linear differential equationy+2y-3y=D3e'x+4 cos x,(notation e*x=exp(x)-"e raised to the x power cos x= "cosine of x)find a particular solution yp of the non-homogeneous equation.

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Answered: Given the second order non-homogeneous…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I'm trying to understand how the tutor used inverse operator there and what steps were skipped. Starting from Using PI of 1/ D-2 Q . Till how he got the answer

using PI of
PT.
e
D-d
どle
2.
=D2
Cod ox dhe
D-2
finst
2.
2e
on
P.I=
3.
4 Cab X

Given the second order non-homogeneous linear differential equation
y+2y-3y=D3e'x+4 cos x,
(notation e*x=exp(x)-"e raised to the x power cos x= "cosine of x)
find a particular solution yp of the non-homogeneous equation.

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