Stefan's law of radiation gives the rate of change of dx dt Where x (t) is the temperature (kelvins) of the body at time t (seconds) Solve the differential equation using variable separable method. temperature of a body by = (a + 2) [x4 (b + 3)4]

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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assume that,

a = 0

b = 6

Question No. 1
1.1.
1.2.
Stefan's law of radiation gives the rate of change of temperature of a body by
dx
(a + 2) [x4 (b + 3)4]
dt
Where x (t) is the temperature (kelvins) of the body at time t (seconds)
Solve the differential equation using variable separable method.
An un-damped spring-mass system is subject to a forcef Sin [(b + 2t), the equation of motion is
mx = -kx + fSin(b + 2t)
k - 4m = 0
Where m is the mass, k is the stiffness of the spring, x is the displacement and t is the time. Solve the
system using Auxiliary equation and find the displacement when t =
kla
Transcribed Image Text:Question No. 1 1.1. 1.2. Stefan's law of radiation gives the rate of change of temperature of a body by dx (a + 2) [x4 (b + 3)4] dt Where x (t) is the temperature (kelvins) of the body at time t (seconds) Solve the differential equation using variable separable method. An un-damped spring-mass system is subject to a forcef Sin [(b + 2t), the equation of motion is mx = -kx + fSin(b + 2t) k - 4m = 0 Where m is the mass, k is the stiffness of the spring, x is the displacement and t is the time. Solve the system using Auxiliary equation and find the displacement when t = kla
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,