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Exercise 0.3.1: Classify the following equations. Are they ODE or PDE? Is it an equation or a system? What is the order? Is it linear or nonlinear, and if it is linear, is it homogeneous, constant coefficient? If it is an ODE, is it autonomous? d²x dt2 c) y" + 3y + 5x = 0, x" + x - y = 0 e) x" + tx² = t a) sin(t): + cos(t)x = t² ди b) +3 = xy dy d) f) ди dx J²u at² d4x dt4 + u = 0 2²u ds² = 0

Exercise 0.3.1: Classify the following equations. Are they ODE or PDE? Is it an equation or a system? What is the order? Is it linear or nonlinear, and if it is linear, is it homogeneous, constant coefficient? If it is an ODE, is it autonomous? d²x dt2 c) y" + 3y + 5x = 0, x" + x - y = 0 e) x" + tx² = t a) sin(t): + cos(t)x = t² ди b) +3 = xy dy d) f) ди dx J²u at² d4x dt4 + u = 0 2²u ds² = 0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Exercise 0.3.1: Classify the following equations. Are they ODE or PDE? Is it an equation or a system? What is the order? Is it linear or nonlinear, and if it is linear, is it homogeneous, constant coefficient? If it is an ODE, is it autonomous? d²x dt2 c) y" + 3y + 5x = 0, x" + x - y = 0 e) x" + tx² = t a) sin(t)- + cos(t)x = t² ди ди b) +3 = xy dx dy d) f) J²u at² d4x dt 4 + u = 0 2²u ds² = 0
Transcribed Image Text:Exercise 0.3.1: Classify the following equations. Are they ODE or PDE? Is it an equation or a system? What is the order? Is it linear or nonlinear, and if it is linear, is it homogeneous, constant coefficient? If it is an ODE, is it autonomous? d²x dt2 c) y" + 3y + 5x = 0, x" + x - y = 0 e) x" + tx² = t a) sin(t)- + cos(t)x = t² ди ди b) +3 = xy dx dy d) f) J²u at² d4x dt 4 + u = 0 2²u ds² = 0
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