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2. y' = y sec x ; 3. у(3x3 — х + у)dx + x?(1 — х?)dy %3D 0 4. у(2х — у + 1)dx + x(3x — 4у + 3)dy — 0 5. (r + sin 0 – cos 0)dr + r(sin 0 + cos 0)d0 = 0 6. хуdx — (х + 2y)?dy %3D 0 7. (1+y? + xy²)dx + (x²y+ y+ 2xy)dy = 0 - || - 8 2vdr + r(y2lny Ddy -0 -

2. y' = y sec x ; 3. у(3x3 — х + у)dx + x?(1 — х?)dy %3D 0 4. у(2х — у + 1)dx + x(3x — 4у + 3)dy — 0 5. (r + sin 0 – cos 0)dr + r(sin 0 + cos 0)d0 = 0 6. хуdx — (х + 2y)?dy %3D 0 7. (1+y? + xy²)dx + (x²y+ y+ 2xy)dy = 0 - || - 8 2vdr + r(y2lny Ddy -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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Choose two from the list below and solve for its differential equation.

2. у' — y sec х; 3. у(3x3 — х + у)dx + x?(1 — х?)dy %3D 0 4. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0 5. (r + sin 0 6. xydx – (x + 2y)²dy = 0 7. (1+y² + xy²)dx + (x²y+ y + 2xy)dy = 0 8. 2ydx + x(x²Iny – 1)dy = 0 9. y(2x + y²)dx + x(y² – x)dy = 0 10.(3x2 – 2y²)y' = 2xy ; 11.(2x – 3y)dx + (2y – 3x)dy ; x = 1 , y = 1 | %3| cos 0)dr + r(sin 0 + cos 0)d0 = 0 x = 1, y=1 | 12 (2a,2 2ca 1)du
Transcribed Image Text:2. у' — y sec х; 3. у(3x3 — х + у)dx + x?(1 — х?)dy %3D 0 4. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0 5. (r + sin 0 6. xydx – (x + 2y)²dy = 0 7. (1+y² + xy²)dx + (x²y+ y + 2xy)dy = 0 8. 2ydx + x(x²Iny – 1)dy = 0 9. y(2x + y²)dx + x(y² – x)dy = 0 10.(3x2 – 2y²)y' = 2xy ; 11.(2x – 3y)dx + (2y – 3x)dy ; x = 1 , y = 1 | %3| cos 0)dr + r(sin 0 + cos 0)d0 = 0 x = 1, y=1 | 12 (2a,2 2ca 1)du
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