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* jax vnen 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1

* jax vnen 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1

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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can you answer number 8

1. 3(3x? + у?)dx — 2хy dy %3D0 2. x²y' = 4x² + 7xy + 2y² 3. (x? + 2ху — 4у?)dx - (x? — 8ху -4у?)dy %3D 0 4. v² dx + x(x + v)dv = 0 5. [x- yarctan (2)1 dx + x arctan (2) dy = 0 6. (Зх? - 2ху + Зу?)dx %3D 4xy dy 7. (y + x? + y² )dx – x dy = 0 ; when x = v3,y = 1 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1 9. y(x² +y²) 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:1. 3(3x? + у?)dx — 2хy dy %3D0 2. x²y' = 4x² + 7xy + 2y² 3. (x? + 2ху — 4у?)dx - (x? — 8ху -4у?)dy %3D 0 4. v² dx + x(x + v)dv = 0 5. [x- yarctan (2)1 dx + x arctan (2) dy = 0 6. (Зх? - 2ху + Зу?)dx %3D 4xy dy 7. (y + x? + y² )dx – x dy = 0 ; when x = v3,y = 1 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1 9. y(x² +y²) 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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