Homework Help is Here – Start Your Trial Now!
Math
Calculus
Which of the following functions are solutions to the 1-D heat equation? Ut = guxx Ou= 2-36t cos(3x) -324t u = e Ou= sin(6x)e Ou = 6e³t Ou=6 u = e -324t cos(6x) U= cos(6x) U= -9t = sin(3x)e¯

Which of the following functions are solutions to the 1-D heat equation? Ut = guxx Ou= 2-36t cos(3x) -324t u = e Ou= sin(6x)e Ou = 6e³t Ou=6 u = e -324t cos(6x) U= cos(6x) U= -9t = sin(3x)e¯

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...
See similar textbooks
icon
Related questions
Question
100%
Which of the following functions are solutions to the 1-D heat equation? Ut = guxx -36t cos(3x) U= sin(6x)e-324t u e Ou = 6e³t u=6 u e -324t cos(6x) u = cos(6x) U= sin (3x)e -9t
Transcribed Image Text:Which of the following functions are solutions to the 1-D heat equation? Ut = guxx -36t cos(3x) U= sin(6x)e-324t u e Ou = 6e³t u=6 u e -324t cos(6x) u = cos(6x) U= sin (3x)e -9t
Expert Solution
Step 1

Given:

Calculus homework question answer, step 1, image 1

We will be checking the answers one by one.

For Calculus homework question answer, step 1, image 2:

Here,

               ut=∂ ∂ te-36tcos3x=-36e-36tcos3xuxx=∂2∂ x2e-36tcos3x=∂ ∂ x-3e-36tsin3x=-9e-36tcos3x

So, the first option is not a solution.

steps

Step by step

Solved in 3 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS