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II. Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - x)dy = 0 2. y(x³ey – y)dx + x(y + x*e*Y)dy = 0 3. 2x³y' = y(3x*+y²) 4. y(x³y3 + 2x2 – y)dx + x³ (xy3 – 2)dy = 0; when x = 1, y = 1 5. (2y – 3x)dx + xdy = 0

II. Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - x)dy = 0 2. y(x³ey – y)dx + x(y + x*e*Y)dy = 0 3. 2x³y' = y(3x*+y²) 4. y(x³y3 + 2x2 – y)dx + x³ (xy3 – 2)dy = 0; when x = 1, y = 1 5. (2y – 3x)dx + xdy = 0

Advanced Engineering Mathematics
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. 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*»)dy = 0 3. 2x5y' = y(3x*+y?) 4. y(x³y³ + 2x² – y)dx + x³ (xy³ – 2)dy = 0; when x = 1, y = 1 5. (2y – 3x)dx + xdy = 0
Transcribed Image Text:I. 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*»)dy = 0 3. 2x5y' = y(3x*+y?) 4. y(x³y³ + 2x² – y)dx + x³ (xy³ – 2)dy = 0; when x = 1, y = 1 5. (2y – 3x)dx + xdy = 0
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