4- with explanation, find the particular solution of 3xy¹ - y = lnx + 4, satisfy y(1) = -2 +¹, x >0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 4
a) y() = 1
b) y (0) = 5
4- with
xplanation, find the particular solution of
satisfy y(1) = -2
lax + ¹, x >0
3xy¹ - y = lnx + 4,
5. Given that the particular soloution of y¹ - y² = (os
hus the form yp = Acosx + Bsinx. With explanati
Determine the coefficients A and A.
- 2
6) Solve the nonhomogeous equation y" + y²-
explaining clearly each step.
yle) = 1 a
7) Solve ÿ -3ÿ -4 = 3e²t, with yld
by explaing all the steps involved.
Transcribed Image Text:a) y() = 1 b) y (0) = 5 4- with xplanation, find the particular solution of satisfy y(1) = -2 lax + ¹, x >0 3xy¹ - y = lnx + 4, 5. Given that the particular soloution of y¹ - y² = (os hus the form yp = Acosx + Bsinx. With explanati Determine the coefficients A and A. - 2 6) Solve the nonhomogeous equation y" + y²- explaining clearly each step. yle) = 1 a 7) Solve ÿ -3ÿ -4 = 3e²t, with yld by explaing all the steps involved.
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