Practice Differential Equation - 1.2.1 | 1. Linear Differential Equations | Mathematics (Civil Engineering -1)
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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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

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

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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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

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

Challenge and get performance evaluation