Practice Formation Of Pdes By Eliminating Arbitrary Functions (1.2) - Formation of Partial Differential Equations

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6 sample questions

Question 1.
Define what a Partial Differential Equation (PDE) is.
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Recall the definition of PDE from the session.
Question 2.
What is the first step in eliminating arbitrary constants?
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Think about the differentiation process.
3Question 3.
What is the primary purpose of forming a PDE?
- To simplify an equation
- To eliminate functions
- To represent a class of functions
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Think about the goal of working with PDEs.
4Question 4.
True or False: Differential equations can involve arbitrary constants.
- True
- False
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Recall the earlier discussions on constants.
Question 5.
Given z = a sin(x) + b cos(y), form a PDE by eliminating a and b.
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Look closely at how trigonometric functions behave in differentiation.
Question 6.
Given z = f(xy) + g(x/y), construct a second-order PDE.
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Focus on both differentiation processes and how they interrelate.

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