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17. = sin 2y. y(0) = 2. y(0) = 1, y(0) = 0. dy da

17. = sin 2y. y(0) = 2. y(0) = 1, y(0) = 0. dy da

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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Needing some help with #17 please!

Sketching solutions. Each of the differential equations in Exercise Group 1.3.8.14-19 has several initial conditions specified. Sketch the solution curves that satisfy the initial conditions. Sketch your solutions for each equation on the same pair of axes. 14. y' = 2y 5, y(0) = 4, y(0) = 2, y(0) = 0. dx dt 15. 16. dx dt 17. = = (x − 1)(x+2), x(0) = 2, x(0) = 1, x(0) = 0. = (x² − 1)(x − 2), x(0) = 1, x(0) = 0, x(0) = -1. - dy da 18. x' = (x² + 1)(x − 1), x(0) = 2, x(0) = 1, x(0) = 0. 19. x'=x²+x+1, x(0) = 1, x(0) = 0, x(0) = -1. = = sin 2y, y(0) = 2, y(0) = 1, y(0) = 0.
Transcribed Image Text:Sketching solutions. Each of the differential equations in Exercise Group 1.3.8.14-19 has several initial conditions specified. Sketch the solution curves that satisfy the initial conditions. Sketch your solutions for each equation on the same pair of axes. 14. y' = 2y 5, y(0) = 4, y(0) = 2, y(0) = 0. dx dt 15. 16. dx dt 17. = = (x − 1)(x+2), x(0) = 2, x(0) = 1, x(0) = 0. = (x² − 1)(x − 2), x(0) = 1, x(0) = 0, x(0) = -1. - dy da 18. x' = (x² + 1)(x − 1), x(0) = 2, x(0) = 1, x(0) = 0. 19. x'=x²+x+1, x(0) = 1, x(0) = 0, x(0) = -1. = = sin 2y, y(0) = 2, y(0) = 1, y(0) = 0.
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