2. ye* dx + e*dy = 0

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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Solution of an EDE
• If M(x, y) is simpler:
1. F= M(x, y)dx + T(y)
2.
3.
ƏF
ду
ƏF
M(x, y)dx + N(x, y)dy = 0
=
[SM(x,y)dx +T(y)]
= N(x, y)
ду
4. Solve for T(y) (by integration).
5. Re-write GS.
1.Integrate
2. Differentiate
3.Equate
4.Solve for T(y)
5. Re-write GS
Transcribed Image Text:Solution of an EDE • If M(x, y) is simpler: 1. F= M(x, y)dx + T(y) 2. 3. ƏF ду ƏF M(x, y)dx + N(x, y)dy = 0 = [SM(x,y)dx +T(y)] = N(x, y) ду 4. Solve for T(y) (by integration). 5. Re-write GS. 1.Integrate 2. Differentiate 3.Equate 4.Solve for T(y) 5. Re-write GS
2. ye* dx + e*dy = 0
Transcribed Image Text:2. ye* dx + e*dy = 0
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