Loading the lesson
Loading the lesson
Search AllRounder.ai
Search the courses, subjects, tracks, games and features, or jump straight to a page.
Search the courses, subjects, tracks, games and features, or jump straight to a page.
2 cards from this section. Quick, good the night before a test.
What do you understand by a first-order PDE?
Focus on the highest derivative in the equation.
Identify the arbitrary constants in the function z = 3x + 2y + 5.
Look for the numbers that can change in the equation.
What does a first-order PDE involve?
Think about what 'first-order' implies.
True or false: Arbitrary constants can be eliminated to form first-order PDEs.
Consider the role of constants in the function.
Given the function z = 5x^2 + 3xy + 7, derive the PDE by eliminating constants.
Remember to differentiate before eliminating.
Given f(x,y) = 2xy + c, detail how to form a PDE and explain the significance of c.
Consider what happens to the function when c is removed.
5 more questions in this section. Enroll free to practise them all.
Enroll free