ay 1. Consider the differential equation dt The solution to this differential equation models the number of bison t“ +1 (in thousands) in a national park. Let y= f(t) be this particular solution with f(0)=2. (a) Write an equation of the tangent line to the graph of y= ƒ(t) at t = 0 and use it to approximate f(1). (b) Use Euler’s Method, starting at t = 0 , with 2 steps of equal size to approximate f(1) . (c) Find the particular solution y= f(t) to the given differential equation with the initial condition f(0) = 2 and use vour solution to evaluate f(1).
ay 1. Consider the differential equation dt The solution to this differential equation models the number of bison t“ +1 (in thousands) in a national park. Let y= f(t) be this particular solution with f(0)=2. (a) Write an equation of the tangent line to the graph of y= ƒ(t) at t = 0 and use it to approximate f(1). (b) Use Euler’s Method, starting at t = 0 , with 2 steps of equal size to approximate f(1) . (c) Find the particular solution y= f(t) to the given differential equation with the initial condition f(0) = 2 and use vour solution to evaluate f(1).
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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