I have a question regarding this answer, specifically at the moment it's solved the IF at step 4, because instead of doing e^∫ 300+t/(100-t)(100+t)dt, 300+t it's changed for 500+t and with that he continues the resolution of the problem.It's correct or I'm missing something? Thanks Consider equations (2) and (3).2(150-x2)3x2100-1dx2di100+tdx2300–2x23x2dt100+1100-1(5)(300–2x2)(100-1)-32(100+1)(100+1)(100-1)dt300+t(100+1)(100–1)300X2 D100+1dtConsider the integrating factor for equation (5).500+-diIF =el (100+(100-)IFe2 In(t+100)–3 In(1–100)(+100)2InIF = e(-100)3(1+100)²IF =(1-100)+

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Answered: 2(150–x2) 100+r 3x2 100- dt 300–2x2…

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 have a question regarding this answer, specifically at the moment it's solved the IF at step 4, because instead of doing e^∫ 300+t/(100-t)(100+t)dt, 300+t it's changed for 500+t and with that he continues the resolution of the problem.

It's correct or I'm missing something? Thanks

Consider equations (2) and (3).
2(150-x2)
3x2
100-1
dx2
di
100+t
dx2
300–2x2
3x2
dt
100+1
100-1
(5)
(300–2x2)(100-1)-32(100+1)
(100+1)(100-1)
dt
300+t
(100+1)(100–1)
300
X2 D
100+1
dt
Consider the integrating factor for equation (5).
500+
-di
IF =el (100+(100-)
IF
e2 In(t+100)–3 In(1–100)
(+100)2
In
IF = e
(-100)3
(1+100)²
IF =
(1-100)
+

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