This force obeys the following Ordinary Differential Equation: =xF with F(0)=1. Approximate the amount of work, W, done on the object between point 0 and 1.2. dF dx *Use the relationship between work and force: W = F(x) dx *Units of force are in Newtons (abbrev N) and units of work done are Newton-meters (abb Nm) Approximate the solution, F(x), to the given O.D.E using Euler's Method. Specially, fill in the following table. Use Euler's Method x(distance) 0.0 0.3 0.6 0.9 1.2 F(x) (force) 1.000 F_1 F_2 F_3 F_4 Use a step size of 0.3 to compute the four unknown values F_1,F_2,F_3,F_4. Show all work please.

This force obeys the following Ordinary Differential Equation: =xF with F(0)=1. Approximate the amount of work, W, done on the object between point 0 and 1.2. dF dx Use the relationship between work and force: W = F(x) dx Units of force are in Newtons (abbrev N) and units of work done are Newton-meters (abb Nm) Approximate the solution, F(x), to the given O.D.E using Euler's Method. Specially, fill in the following table. Use Euler's Method x(distance) 0.0 0.3 0.6 0.9 1.2 F(x) (force) 1.000 F_1 F_2 F_3 F_4 Use a step size of 0.3 to compute the four unknown values F_1,F_2,F_3,F_4. Show all work please.

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

Section11.3: Euler's Method

Problem 22E

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