Sample Problems Problems: 1.(x3 + xy2 – y)dx + (y³ + x²y + x)dy = C 2. (e*siny +e-y)dx (xe-Y – e*cosy)dy = 0 Sample Problems Answers: 1. 2 tan-1 (2) = c - x? – y? 2. e*siny + xe-y = c

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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6:35 PM | 0.8KB/s O O
lll a 37
DE_LEC3.pptx
y
xy2 + x² = cy
x(x+ y²) = cy
Sample Problems
Problems:
1.(x³ + xy? – y)dx + (y³ + x²y + x)dy = 0
2. (е* siny + e Y)dx — (хе-У — е*cosy)dy %3D0
Sample Problems
Answers:
1. 2 tan-1
= c – x² – y²
2. e*siny + xeY = c
Determination of Integrating Factors
ven
м (х, у)ах+ N(x, у)dy %3D0
7 of 33
Case 1:
OM. _ ƏN I = f(x)
ây ôx N
If
Transcribed Image Text:6:35 PM | 0.8KB/s O O lll a 37 DE_LEC3.pptx y xy2 + x² = cy x(x+ y²) = cy Sample Problems Problems: 1.(x³ + xy? – y)dx + (y³ + x²y + x)dy = 0 2. (е* siny + e Y)dx — (хе-У — е*cosy)dy %3D0 Sample Problems Answers: 1. 2 tan-1 = c – x² – y² 2. e*siny + xeY = c Determination of Integrating Factors ven м (х, у)ах+ N(x, у)dy %3D0 7 of 33 Case 1: OM. _ ƏN I = f(x) ây ôx N If
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