1.2.1 - Method
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Practice Questions
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What is a Partial Differential Equation?
💡 Hint: Think about the definition involving derivatives.
Name a field where PDEs are used.
💡 Hint: Consider any science or engineering discipline.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a Partial Differential Equation?
💡 Hint: Think about the definition you have learned.
True or False: You can form PDEs only by eliminating constants.
💡 Hint: Consider both methods we discussed.
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Challenge Problems
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Given z=ln(x²+y²+c), derive a PDE after eliminating constant c.
💡 Hint: Challenge yourself to see how constants can be transformed away.
Starting with z=f(xy)+g(x+y), derive its second-order PDE form after eliminating functions f and g.
💡 Hint: Remember the application of chain rule and relationships.
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