All Partial Differential Equations Resources
Example Questions
Example Question #1 : 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:
False
True
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.
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All Partial Differential Equations Resources
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