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Answers to odd-numbered In Problems 1-6 solve the dy dx 1 y² 1. x 3. dy dx + y = = y(xy³ - 1)

Answers to odd-numbered In Problems 1-6 solve the dy dx 1 y² 1. x 3. dy dx + y = = y(xy³ - 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 someone help me answer these problems .1 and 3 .please
Depo Answers to odd-numbered problems begin on page A-3. In Problems 1–6 solve the given Bernoulli equation. dy dy dx dx 1. x 3. dy dx +y dy 5. x² + y² = xy dx 7. x²- 11. 1 y² = y(xy³ - 1) dy dx 2xy = 3y¹, y(1) = 1/2 dy 9. xy(1 + xy²) 1, y(1) = 0 dx dy dx 2. 4. x In Problems 7–10 solve the given differential equation subject to the indicated initial condition. dy dx y = exy² 1 10. 2 (1 + x)y = xy² dy 6. 3(1 + x²). = 2xy (³1) dx dy 8. y¹/2 +y³/2 = 1, y(0) = 4 dx y(1) = 1 In Problems 11-16 solve the given Ricatti equation; y₁ is a known solution of the equation. -2-y + y², y₁ = 2 dy y X dx X y²
Transcribed Image Text:Depo Answers to odd-numbered problems begin on page A-3. In Problems 1–6 solve the given Bernoulli equation. dy dy dx dx 1. x 3. dy dx +y dy 5. x² + y² = xy dx 7. x²- 11. 1 y² = y(xy³ - 1) dy dx 2xy = 3y¹, y(1) = 1/2 dy 9. xy(1 + xy²) 1, y(1) = 0 dx dy dx 2. 4. x In Problems 7–10 solve the given differential equation subject to the indicated initial condition. dy dx y = exy² 1 10. 2 (1 + x)y = xy² dy 6. 3(1 + x²). = 2xy (³1) dx dy 8. y¹/2 +y³/2 = 1, y(0) = 4 dx y(1) = 1 In Problems 11-16 solve the given Ricatti equation; y₁ is a known solution of the equation. -2-y + y², y₁ = 2 dy y X dx X y²
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