Answer either Yes or No in the boxes provided. A population r of rats satisfies the DE da/ dt. kr2 Initially there are x(0) = 2 rats, and their number is increasing at the rate of dr/dt =1 rat per month when there are x = 10 rats. a) The value of the constant k is k=1/100? 100 x(t) = 50-t b) The solution of this initial value problem is lim x(t) = 0? c) t 50-
Answer either Yes or No in the boxes provided. A population r of rats satisfies the DE da/ dt. kr2 Initially there are x(0) = 2 rats, and their number is increasing at the rate of dr/dt =1 rat per month when there are x = 10 rats. a) The value of the constant k is k=1/100? 100 x(t) = 50-t b) The solution of this initial value problem is lim x(t) = 0? c) t 50-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The general solution of a differential equation always contains a constant of integration. The initial condition in an initial value problem is used to determine the integration constant.
A differential equation can be solved using the variable separation method. In this method, the terms with like variables are isolated on either side of the equation and then integrated with respect to the variables to yield the general solution.
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