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A non-linear system is governed by the following differential equation dx +x³u; x(0) = 0.1; u = 1 1.) Solve the diff-eq numerically 2.) Linearize the diff-eq about u=1. Write down the differential equation. 3.) Linearize the differential equation and solve numerically. 4.) Solve the diff-eq analytically (variable separable) for u-1.

A non-linear system is governed by the following differential equation dx +x³u; x(0) = 0.1; u = 1 1.) Solve the diff-eq numerically 2.) Linearize the diff-eq about u=1. Write down the differential equation. 3.) Linearize the differential equation and solve numerically. 4.) Solve the diff-eq analytically (variable separable) for u-1.

Advanced Engineering Mathematics
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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A non-linear system is governed by the following differential equation dx + x³ = u; x(0) = 0.1; u = 1 1.) Solve the diff-eq numerically 2.) Linearize the diff-eq about u=1. Write down the differential equation. 3.) Linearize the differential equation and solve numerically. 4.) Solve the diff-eq analytically (variable separable) for u-1.
Transcribed Image Text:A non-linear system is governed by the following differential equation dx + x³ = u; x(0) = 0.1; u = 1 1.) Solve the diff-eq numerically 2.) Linearize the diff-eq about u=1. Write down the differential equation. 3.) Linearize the differential equation and solve numerically. 4.) Solve the diff-eq analytically (variable separable) for u-1.
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