All Partial Differential Equations Resources
Example Questions
Example Question #9 : Partial Differential Equations
Determine if the statement is true or false:
If the -axis is the axis of symmetry and a surface is revolving around it and
is an arbitrary function, then the partial differential equation associated with that said surface, satisfies the equation:
Possible Answers:
True
False
Correct answer:
True
Explanation:
To determine the truth of this statement, assume the following.
is some function
From here, differential with respect to
and
.
Next eliminate as it is an arbitrary function.
This leads to the result,
Therefore, the statement,
If the -axis is the axis of symmetry and a surface is revolving around it and
is an arbitrary function, then the partial differential equation associated with that said surface, satisfies the equation:
is true.
Magdy
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Cairo University, Egypt, Bachelor of Science, Electrical Engineering. New Mexico State University-Main Campus, Doctor of Phil...
Fitsum
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Rutgers University-New Brunswick, Bachelor of Science, Biological and Physical Sciences.
All Partial Differential Equations Resources
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