dy Vi+. y(1) =3. 2

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
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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E) Write the explicit solution to the IVP using a definite integral.
47.
dy
cos (4)
%3D
dz
3
(3) = 4
SOLUTION: Separate variables: 3/9 - cos ().
!!
dr.
y dy%3D
dr.
The right-hand side integral cannot be evaluated directly, so we replace it by a definite integral.
COS
dt + C.
co) di + C.
Cos
Using the initial conditions,
CON
dt + C
16 =0+ C.
Solving for y,
48.
52.
(1) = 5.
In(2)-, s(e) = 25.
49.
53
sin(z), y() - 1.
Vysin(), y() = 9.
54.
50.
Vi+. (1) = 3.
cos(a), y(0) -2
55
51.
, y(1) = 0
Vit
= (0) =e.
Transcribed Image Text:E) Write the explicit solution to the IVP using a definite integral. 47. dy cos (4) %3D dz 3 (3) = 4 SOLUTION: Separate variables: 3/9 - cos (). !! dr. y dy%3D dr. The right-hand side integral cannot be evaluated directly, so we replace it by a definite integral. COS dt + C. co) di + C. Cos Using the initial conditions, CON dt + C 16 =0+ C. Solving for y, 48. 52. (1) = 5. In(2)-, s(e) = 25. 49. 53 sin(z), y() - 1. Vysin(), y() = 9. 54. 50. Vi+. (1) = 3. cos(a), y(0) -2 55 51. , y(1) = 0 Vit = (0) =e.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,