Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
a. In order to use differential equations, we must have equations with functions that not only are continuous, but also are differentiable. Name one natural process that is not differentiable everywhere. b. Consider the classic two-dimensional model for projectile motion in physics: X: = xo + vot cos 0 and y; = yo + vot sin 0 – gt². As you know, the ordered pairs (x¡, Y¡) (parametrized in time) trace a perfect parabola. No one questions whether this model is useful (even if we wish it included air resistance). However, this model is false. Why? Because it assumes that the earth is c. Sabine Hossenfelder said, "I find it hard to think of anything that's more relevant for understanding how the world works than " She goes on to say that these are fundamentally useful for understanding pandemics, the expansion of the universe, climate, financial markets, and quantum mechanics.

a. In order to use differential equations, we must have equations with functions that not only are continuous, but also are differentiable. Name one natural process that is not differentiable everywhere. b. Consider the classic two-dimensional model for projectile motion in physics: X: = xo + vot cos 0 and y; = yo + vot sin 0 – gt². As you know, the ordered pairs (x¡, Y¡) (parametrized in time) trace a perfect parabola. No one questions whether this model is useful (even if we wish it included air resistance). However, this model is false. Why? Because it assumes that the earth is c. Sabine Hossenfelder said, "I find it hard to think of anything that's more relevant for understanding how the world works than " She goes on to say that these are fundamentally useful for understanding pandemics, the expansion of the universe, climate, financial markets, and quantum mechanics.

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
See similar textbooks
icon
Related questions
Question
a. In order to use differential equations, we must have equations with functions that not only are continuous, but also are differentiable. Name one natural process that is not differentiable everywhere. b. Consider the classic two-dimensional model for projectile motion in physics: Xt = Xo + vot cos 0 and y; = yo + vot sin 0 – gt². As you know, the ordered pairs (x¡, Y¡) (parametrized in time) trace a perfect parabola. No one questions whether this model is useful (even if we wish it included air resistance). However, this model is false. Why? Because it assumes that the earth is c. Sabine Hossenfelder said, "I find it hard to think of anything that's more relevant for understanding how the world works than " She goes on to say that these are fundamentally useful for understanding pandemics, the expansion of the universe, climate, financial markets, and quantum mechanics. d. We are told that the universe is 12 to 13 (or so) billions years old to the Big Bang. If we had the right differential equations to model the universe, and we plugged is something corresponding to 15 or so billion years ago, what could expect to find?
Transcribed Image Text:a. In order to use differential equations, we must have equations with functions that not only are continuous, but also are differentiable. Name one natural process that is not differentiable everywhere. b. Consider the classic two-dimensional model for projectile motion in physics: Xt = Xo + vot cos 0 and y; = yo + vot sin 0 – gt². As you know, the ordered pairs (x¡, Y¡) (parametrized in time) trace a perfect parabola. No one questions whether this model is useful (even if we wish it included air resistance). However, this model is false. Why? Because it assumes that the earth is c. Sabine Hossenfelder said, "I find it hard to think of anything that's more relevant for understanding how the world works than " She goes on to say that these are fundamentally useful for understanding pandemics, the expansion of the universe, climate, financial markets, and quantum mechanics. d. We are told that the universe is 12 to 13 (or so) billions years old to the Big Bang. If we had the right differential equations to model the universe, and we plugged is something corresponding to 15 or so billion years ago, what could expect to find?
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS