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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only 54 please
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65ac704a-ae54-4edc-9a4c-e873fb740ce2%2Ff33b0c3f-0eb1-444f-8d90-3942eab4ca0b%2Fb0gpvfi_processed.jpeg&w=3840&q=75)
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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