Practice Differential Equation (1.2.1) - Linear Differential Equations
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Differential Equation

Practice - Differential Equation

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Practice Questions

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Question 1 Easy

Define a differential equation.

💡 Hint: Think about what makes an equation involve derivatives.

Question 2 Easy

What is the order of the equation dy/dx = 3x?

💡 Hint: Look at the highest derivative present.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a differential equation?

💡 Hint: Consider an equation that includes derivatives.

Question 2

True or False: All differential equations are linear.

💡 Hint: Recall the definition of linear equations.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider the differential equation dy/dx + 4y = e^(2x). Determine the order, degree, and solve it.

💡 Hint: Remember the integrating factor method and simplify as needed.

Challenge 2 Hard

Given d²y/dx² - 3dy/dx + 2y = 0, solve this second-order homogeneous differential equation.

💡 Hint: Identify the auxiliary equation and determine the characteristic roots.

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