1.1.1 - Method
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Practice Questions
Test your understanding with targeted questions
Define Partial Differential Equation.
💡 Hint: It includes derivatives with respect to multiple variables.
What do we do with arbitrary constants in forming a PDE?
💡 Hint: Think about how we treat z = ax + by + c.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a Partial Differential Equation involve?
💡 Hint: Think about derivatives that involve more than one variable.
True or False: We eliminate arbitrary functions when forming PDEs.
💡 Hint: Consider our discussions on differentiating and substituting.
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Challenge Problems
Push your limits with advanced challenges
Given z = 3xy + b, derive a PDE by eliminating b. What is the result?
💡 Hint: Remember how to sub and eliminate constants.
Using z = sin(x) + cos(y) + h(xy), eliminate h to arrive at a new PDE.
💡 Hint: Work through each derivative carefully and use algebra to consolidate.
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