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3. (xy +x)dx = (x²y² + x2 +y2 + 1)dy when x = 0; y = 0 %3D

3. (xy +x)dx = (x²y² + x2 +y2 + 1)dy when x = 0; y = 0 %3D

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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Identify if homogenous, exat or separation of variable and then perform. (Answer no. 2)
3. (xy + x)dx = (x²y² + x² +y2 + 1)dy when x = 0; y = 0 %3D 4. [cos(2y) - 3x2y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D 5.x2(y + 1)dx +y?(x -1)dy = 0 when x = 2; y = 0 6. (x - y)dx + (3x + y)dy = 0 when x = 1; y = 0 %3D 2 | 2 - Q + Page
Transcribed Image Text:3. (xy + x)dx = (x²y² + x² +y2 + 1)dy when x = 0; y = 0 %3D 4. [cos(2y) - 3x2y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D 5.x2(y + 1)dx +y?(x -1)dy = 0 when x = 2; y = 0 6. (x - y)dx + (3x + y)dy = 0 when x = 1; y = 0 %3D 2 | 2 - Q + Page
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