

Complementary and Particular Solutions in Differential Equations
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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12 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the dependent variable in the second order differential equation discussed?
x
y
z
t
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of system is described by the differential equation in the introduction?
Homogeneous
Non-homogeneous
Linear
Non-linear
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two parts of the solution to a non-homogeneous differential equation?
General and Specific
Complementary and Particular
Linear and Non-linear
Simple and Complex
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the auxiliary equation in finding the complementary function?
To solve for initial conditions
To determine the order of the equation
To find the particular integral
To derive the complementary function
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding a particular integral?
Finding initial conditions
Solving the auxiliary equation
Determining the order of the equation
Guessing a function form
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens if the trial function does not balance the equation?
The solution is correct
The trial function is incorrect
The equation is invalid
The complementary function is wrong
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of substituting a constant trial function into the equation?
The equation does not balance
The equation balances
The complementary function changes
The solution is found
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