= - 6.24. Take an equation y' = (y − 2x)g(x, y) + 2 for some function g(x, y) such that g and 29 exists near (0, 0). What does the Picard's theorem says about a solution with initial condition y(0) = 0? Can you find such solution? Can you solve this extremely-difficult-looking problem? y' = (y- 3x)exy+2 sin(y + 2) cos(x² + y) + 3, y(0) = = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
Question
=
-
6.24. Take an equation y' = (y − 2x)g(x, y) + 2 for some function g(x, y) such that g and 29 exists near
(0, 0). What does the Picard's theorem says about a solution with initial condition y(0) = 0? Can you find
such solution?
Can you solve this extremely-difficult-looking problem?
y' =
(y- 3x)exy+2 sin(y + 2)
cos(x² + y)
+ 3,
y(0) =
= 0
Transcribed Image Text:= - 6.24. Take an equation y' = (y − 2x)g(x, y) + 2 for some function g(x, y) such that g and 29 exists near (0, 0). What does the Picard's theorem says about a solution with initial condition y(0) = 0? Can you find such solution? Can you solve this extremely-difficult-looking problem? y' = (y- 3x)exy+2 sin(y + 2) cos(x² + y) + 3, y(0) = = 0
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,