V29. Verify that the piecewise-defined function (-, x<0 y = 2, x 0 is a solution of the differential equation xy'- 2y = 0 on (-00, 00),

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
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13
1.1 DEFINITIONS AND TERMINOLOGY
V29. Verify that the piecewise-defined function
-x, x<0
y 3=
2, x20
is a solution of the differential equation xy'- 2y 0 on
(-00, 00).
1(x) = V25 -x and
is an 30. In Example 7 we saw that y =
- Pro-
d give
y = 2(x) = -V25 -x are solutions of dy/dx = -x/y on the
interval (-5, 5). Explain why the piecewise-defined function
D.E
oge.
rential
ĮV25 -
1-V25 - ,
-5<x<0
y =
0Sx<5
Transcribed Image Text:ASHIFT ALT FN CTRL 13 1.1 DEFINITIONS AND TERMINOLOGY V29. Verify that the piecewise-defined function -x, x<0 y 3= 2, x20 is a solution of the differential equation xy'- 2y 0 on (-00, 00). 1(x) = V25 -x and is an 30. In Example 7 we saw that y = - Pro- d give y = 2(x) = -V25 -x are solutions of dy/dx = -x/y on the interval (-5, 5). Explain why the piecewise-defined function D.E oge. rential ĮV25 - 1-V25 - , -5<x<0 y = 0Sx<5
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