10.5 - General Form of Solvable PDEs
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Practice Questions
Test your understanding with targeted questions
What is a Partial Differential Equation (PDE)?
💡 Hint: Look at the definition we discussed in class.
What does direct integration involve?
💡 Hint: Consider how we solve simple equations.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following is a first-order PDE format?
💡 Hint: Focus on the order of derivatives.
True or False: Arbitrary functions are never included in the solutions of PDEs.
💡 Hint: Consider the integration process along with our discussions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Solve the following system of PDEs: ∂z/∂x = x + y and ∂z/∂y = 2x - y.
💡 Hint: Make sure to relate your two derived functions.
Given ∂²z/∂x² + ∂²z/∂y² = 0, solve using direct integration by separating variables.
💡 Hint: Recap the role of each variable in isolation when integrating.
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