5. Given that the particular soloutive of y" - y² = (osx+ sinx hus the form yp= = Acosx + Bsinx. With explanation Determine the coefficients A and A.

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 5
Solve 2 y + y = 3 using the initial Condition
dx
a) y (0) = 1
b) y (0) - S
4- with explanation, find the particular solution of
satisfy y(1) = -2
зху - у
lax rd, x>0
5. Given that the particular soloutive of y" - y' = los x+ sinx
hus the form yp = Arosx + Bsinx. With explanation
Determine the coefficients A and A.
7)
6) Sol the nonhomogeous equation
explaining clearly each step.
3e2²
y" + y² - 2y = xex
with yle! =
solve ÿj usÿ - 4 =
by explaing all the steps involved.
7
and
y(o)-
8) with good explanation, solve the culas equation
x²y¹¹ - 5xy' + gy =o
9) Find the geneal solution to y' + xy' + you by the
Series
method,
Transcribed Image Text:Solve 2 y + y = 3 using the initial Condition dx a) y (0) = 1 b) y (0) - S 4- with explanation, find the particular solution of satisfy y(1) = -2 зху - у lax rd, x>0 5. Given that the particular soloutive of y" - y' = los x+ sinx hus the form yp = Arosx + Bsinx. With explanation Determine the coefficients A and A. 7) 6) Sol the nonhomogeous equation explaining clearly each step. 3e2² y" + y² - 2y = xex with yle! = solve ÿj usÿ - 4 = by explaing all the steps involved. 7 and y(o)- 8) with good explanation, solve the culas equation x²y¹¹ - 5xy' + gy =o 9) Find the geneal solution to y' + xy' + you by the Series method,
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