Practice Method - 1.1.1 | 1. Formation of Partial Differential Equations | Mathematics - iii (Differential Calculus) - Vol 2
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Practice Questions

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Question 1

Easy

Define Partial Differential Equation.

💡 Hint: It includes derivatives with respect to multiple variables.

Question 2

Easy

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

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does a Partial Differential Equation involve?

  • Only single variables
  • Partial derivatives of multivariable functions
  • Only constants

💡 Hint: Think about derivatives that involve more than one variable.

Question 2

True or False: We eliminate arbitrary functions when forming PDEs.

  • True
  • False

💡 Hint: Consider our discussions on differentiating and substituting.

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Challenge Problems

Push your limits with challenges.

Question 1

Given z = 3xy + b, derive a PDE by eliminating b. What is the result?

💡 Hint: Remember how to sub and eliminate constants.

Question 2

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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