Practice What Is A Partial Differential Equation? (1) - Formation of Partial Differential Equations

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define a Partial Differential Equation.
Show hintHide hint
Think about what 'partial' refers to.
Question 2.
What are arbitrary constants?
Show hintHide hint
Consider how constants differ from variables.
3Question 3.
What does a Partial Differential Equation include?
- Single variable
- Partial derivatives
- Only constants
Show hintHide hint
Think about the definition of 'partial'.
4Question 4.
Is an equation formed by eliminating constants considered a PDE?
- True
- False
Show hintHide hint
Recall the steps we discussed on forming PDEs.
Question 5.
Given z = xyz + e^x, eliminate arbitrary constants to form the corresponding PDE.
Show hintHide hint
Consider previous examples as guidance.
Question 6.
Given z = g(x² + y²) + h(x - y), derive the PDE and eliminate the functions g and h.
Show hintHide hint
Use relationships efficiently to manage the differentials.

4 more questions in this section. Enroll free to practise them all.