2. y(x*e*y - y)dx + x(y+x³e*)dy = 0 3. 2x y' = y(3x*+y²) 4. y(x³y³ + 2x² – y)dx + x³(xy³ – 2)dy = 0; when x = 1,y = 1 %3D %3D

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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Solve #2. Please write legibly
VII.
Obtain the solution using Integrating Factors Found by Inspection.
1. ydx + 2(y* – x)dy = 0
2. y(x³e*y – y)dx + x(y + x³e*y)dy = 0
3. 2x y' y(3x*+y?)
4. y(x3y3 + 2x² – y)dx + x³(xy³ – 2)dy = 0; when x = 1,y = 1
%3D
Transcribed Image Text:VII. Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0 2. y(x³e*y – y)dx + x(y + x³e*y)dy = 0 3. 2x y' y(3x*+y?) 4. y(x3y3 + 2x² – y)dx + x³(xy³ – 2)dy = 0; when x = 1,y = 1 %3D
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