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(2) Consider the autonomous differential equation V = 4 - for a function y = y(t). (a) What are the equilibrium solutions? (b) Sketch the possibility for solutions to this differential equation. (c) Suppose y(0) =1. Use Euler's method with two increments to estimate the value y(-0.2). Does that answer agree with the sketch in (b)?

(2) Consider the autonomous differential equation V = 4 - for a function y = y(t). (a) What are the equilibrium solutions? (b) Sketch the possibility for solutions to this differential equation. (c) Suppose y(0) =1. Use Euler's method with two increments to estimate the value y(-0.2). Does that answer agree with the sketch in (b)?

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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(2) Consider the autonomous differential equation y = y4 – ? for a function y = y(t). (a) What are the equilibrium solutions? (b) Sketch the possibility for solutions to this differential equation. (c) Suppose y(0) = 1. Use Euler's method with two increments to estimate the value y(-0.2). Does that answer agree with the sketch in (b)?
Transcribed Image Text:(2) Consider the autonomous differential equation y = y4 – ? for a function y = y(t). (a) What are the equilibrium solutions? (b) Sketch the possibility for solutions to this differential equation. (c) Suppose y(0) = 1. Use Euler's method with two increments to estimate the value y(-0.2). Does that answer agree with the sketch in (b)?
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