3x #3 x dy + (3x-1) y = C-³² dx Step 1: Standard Form dy + dx (3x-1) 4 x Step 2: M(x)= e P(x) = (3x-1) М(x) = е SP(x) SP(X) e e 3-1 = √³-1 = 35- £ - 3 - 1n/x1 + 3 /a/x-²) x 3-In 1x¹1 x -3x X
3x #3 x dy + (3x-1) y = C-³² dx Step 1: Standard Form dy + dx (3x-1) 4 x Step 2: M(x)= e P(x) = (3x-1) М(x) = е SP(x) SP(X) e e 3-1 = √³-1 = 35- £ - 3 - 1n/x1 + 3 /a/x-²) x 3-In 1x¹1 x -3x X
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 am stuck on the integrating factor of this differential equation. The exponent rules are making me stuck.
![#3 x dy + (3x-1) y = e-3x
dx
Step 1: Standard Form
dy +
dx
(3x - 1) y
x
Step 2: M(x)= e
P(x) = (3x-1)
M(x) = е
SP(x)
SP(X)
2
53-4-5-4-
3-
e
35-£-3-1^/x1 =3 /a/x-1)
e-³x
x
3-In 1x²1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5362cbea-9427-4b2b-99cb-57a208edd853%2F5960254c-dfc0-4080-a49e-a2684fd59e30%2Fqwwqfz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:#3 x dy + (3x-1) y = e-3x
dx
Step 1: Standard Form
dy +
dx
(3x - 1) y
x
Step 2: M(x)= e
P(x) = (3x-1)
M(x) = е
SP(x)
SP(X)
2
53-4-5-4-
3-
e
35-£-3-1^/x1 =3 /a/x-1)
e-³x
x
3-In 1x²1
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