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1. 3(3x? + у?)dx — 2ху dy %3D0

1. 3(3x? + у?)dx — 2ху dy %3D0

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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give me the solution for part II. 

I. Determine if the function is homogeneous. 1. e* 4. x2+2y2 2. tan x 5. (u² + v²j? x²+3xy 3. x-2y 6. (u² – 4v²) II. Solve the differential equation. 1. 3(3x? + y²)dx – 2xy dy = 0 2. x²y' = 4x? + 7xy + 2y? 3. (x? + 2ху — 4y?)dx - (x? — 8ху - 4y?)dy %3D 0 4. v? dx + x(x + v)dv = 0 5. [x – y arctan (2)1 dx + x arctan (2) dy = 0 6. (3x2 — 2ху + Зу?)dx %3D 4ху dy 7. (y + Vx? + yz)dx – x dy = 0 ; when x = v3, y = 1 8. xy dx + 2(x? + 2y²)dy = 0 ; when x = 0, y = 1 9. y(x? + y?) dx + x(3x² – 5y²)dy = 0 ; when x = 2,y = 1 10. v(3x + 2v)dx – x² dv = 0 ; when x = 1,v = 2
Transcribed Image Text:I. Determine if the function is homogeneous. 1. e* 4. x2+2y2 2. tan x 5. (u² + v²j? x²+3xy 3. x-2y 6. (u² – 4v²) II. Solve the differential equation. 1. 3(3x? + y²)dx – 2xy dy = 0 2. x²y' = 4x? + 7xy + 2y? 3. (x? + 2ху — 4y?)dx - (x? — 8ху - 4y?)dy %3D 0 4. v? dx + x(x + v)dv = 0 5. [x – y arctan (2)1 dx + x arctan (2) dy = 0 6. (3x2 — 2ху + Зу?)dx %3D 4ху dy 7. (y + Vx? + yz)dx – x dy = 0 ; when x = v3, y = 1 8. xy dx + 2(x? + 2y²)dy = 0 ; when x = 0, y = 1 9. y(x? + y?) dx + x(3x² – 5y²)dy = 0 ; when x = 2,y = 1 10. v(3x + 2v)dx – x² dv = 0 ; when x = 1,v = 2
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