Write and find the general solution of the differential equation that models the verbal statement. The rate of change of N is proportional to N. (Use k for the proportionality constant.) dN dt = kN N(t) = Cc4t Evaluate the solution at the specified value of the independent variable. When t = 0, N = 150, and when t = 1, N = 200. What is the value of N when t = 4?
Write and find the general solution of the differential equation that models the verbal statement. The rate of change of N is proportional to N. (Use k for the proportionality constant.) dN dt = kN N(t) = Cc4t Evaluate the solution at the specified value of the independent variable. When t = 0, N = 150, and when t = 1, N = 200. What is the value of N when t = 4?
Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Write and find the general solution of the differential equation that models the verbal statement.
The rate of change of N is proportional to N. (Use k for the proportionality constant.)
|
= |
kN
|
||
| N(t) | = |
Cc4t
|
Evaluate the solution at the specified value of the independent variable.
When t = 0, N = 150, and when t = 1, N = 200. What is the value of N when t = 4?
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