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2 cards from this section. Quick, good the night before a test.
Differentiate the equation z = 2x + 3y + c with respect to x.
Focus on how differentiating with respect to x only affects terms with x.
Given z = kx + my + b, identify the method to remove arbitrary constants.
Remember to differentiate the entire equation.
What do we eliminate to form a PDE from a relation with arbitrary constants?
Think about what we are changing when we differentiate.
True or False: Arbitrary functions can also be eliminated when forming PDEs.
Recall the definitions of arbitrary functions.
Given the relation z = a * sin(x) + b * cos(y), differentiate and form a PDE by eliminating constants.
What happens if you set the relationship to zero?
For z = f(x² + y²) + d*e^(x+y), derive a PDE by eliminating the function f and constant d.
Pay attention to your differentiation steps!
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