3. Consider the DE 4 = 2 y? – y³, (a) Sketch the direction field and the solutions curves for y(0) to solve the DE! Drawing solutions for the given ICs should be enough to give you the qualitative behaviour of the direction field and solutions. (You are not allowed to use any graphical software). -3, 1, 3. You do not have (b) Based on the direction field (a), determine how the behaviour of the solutions y for large x (i.e., as x → +) depends on different initial values of y at x = 0.

3. Consider the DE 4 = 2 y? – y³, (a) Sketch the direction field and the solutions curves for y(0) to solve the DE! Drawing solutions for the given ICs should be enough to give you the qualitative behaviour of the direction field and solutions. (You are not allowed to use any graphical software). -3, 1, 3. You do not have (b) Based on the direction field (a), determine how the behaviour of the solutions y for large x (i.e., as x → +) depends on different initial values of y at x = 0.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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