Which of the following differential equations are ordinary? (Select all that apply) dy + 2 dx = cos t dt + sin 0 = 0 dt2 m dt2 + cx + kx = 0 dt yy + 2x = cos x

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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Question
Which of the following differential equations are ordinary? (Select all that apply)
dy
+ 2
dx
= cos t
dt
+ sin 0 = 0
dt2
+ cx + kx = 0
dt
m
yy + 2x = cos x
Transcribed Image Text:Which of the following differential equations are ordinary? (Select all that apply) dy + 2 dx = cos t dt + sin 0 = 0 dt2 + cx + kx = 0 dt m yy + 2x = cos x
If the solution to an ODE is linear, the Euler method will produce:
(choose the single best option)
Error proportional to the square of the step size
An exact solution
Error proportional to the slope
O Error proportional to the step size
Transcribed Image Text:If the solution to an ODE is linear, the Euler method will produce: (choose the single best option) Error proportional to the square of the step size An exact solution Error proportional to the slope O Error proportional to the step size
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