Quiz on Differential Equations
Multiple Choice
- What is a differential equation?
A. A type of equation that involves the derivatives of a function B. A type of equation that involves the integral of a function C. A type of equation that involves the sum of a function D. A type of equation that involves the product of a function
- What is the order of a differential equation?
A. The number of variables in the equation B. The number of derivatives in the equation C. The number of functions in the equation D. The number of terms in the equation
- What is a solution to a differential equation?
A. A set of values that satisfy the equation B. A set of functions that satisfy the equation C. A set of derivatives that satisfy the equation D. A set of variables that satisfy the equation
True or False
- Differential equations can be used to model physical systems.
A. True B. False
- The order of a differential equation is the number of derivatives in the equation.
A. True B. False
- A solution to a differential equation is a set of derivatives that satisfy the equation.
A. True B. False
Fill in the Blank
A ___________ is an equation that involves the derivatives of a function.
The ___________ of a differential equation is the number of derivatives in the equation.
A solution to a differential equation is a set of ___________ that satisfy the equation.
Short Answer
What is the purpose of a differential equation?
How is a differential equation used to model physical systems?
What are the different types of solutions to a differential equation?