Find the general solution to the differential equation dy x² + 5xy + x = dx 0 First, put the problem into standard form. Then find the integrating factor: r(x) = ☐ help (formulas) Now, find the general solution: g(r) = 1 + Ce-5x 25 help (formulas) Note: Use C as the unknown constant. Book: Section 1.4 of Notes on Diffy Qs

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution to the differential equation
dy
x² + 5xy + x
=
dx
0
First, put the problem into standard form. Then find the integrating factor:
r(x) = ☐ help (formulas)
Now, find the general solution:
g(r)
=
1
+ Ce-5x
25
help (formulas)
Note: Use C as the unknown constant.
Book: Section 1.4 of Notes on Diffy Qs
Transcribed Image Text:Find the general solution to the differential equation dy x² + 5xy + x = dx 0 First, put the problem into standard form. Then find the integrating factor: r(x) = ☐ help (formulas) Now, find the general solution: g(r) = 1 + Ce-5x 25 help (formulas) Note: Use C as the unknown constant. Book: Section 1.4 of Notes on Diffy Qs
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