First Order PDEs - Differential Equations
Card 0 of 4
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:

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:
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.
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.
Compare your answer with the correct one above
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:

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:
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.
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.
Compare your answer with the correct one above
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:

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:
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.
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.
Compare your answer with the correct one above
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:

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:
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.
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.
Compare your answer with the correct one above