
Understanding Linear Second Order Non-Homogeneous Systems of ODEs

Interactive Video
•
Mathematics, Physics, Science
•
11th Grade - University
•
Hard

Emma Peterson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of system does the given equation represent?
Linear first order homogeneous system
Linear second order non-homogeneous system
Non-linear second order homogeneous system
Non-linear first order non-homogeneous system
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general solution of the system composed of?
The difference between the complementary and particular solutions
Only the particular solution
Only the complementary solution
The sum of the complementary and particular solutions
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Under what condition can we not use a particular solution?
If Omega is a natural frequency
If Matrix A is invertible
If negative Omega squared is an eigenvalue of Matrix A
If the system is homogeneous
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving for the general solution?
Determining the inverse of Matrix M
Finding the eigenvalues
Simplifying the equation
Finding the particular solution
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the inverse of a diagonal matrix determined?
By transposing the matrix
By taking the reciprocals of the entries along the main diagonal
By multiplying the matrix by its transpose
By adding the identity matrix
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding eigenvalues in this context?
To simplify the matrix
To determine the particular solution
To find the complementary solution
To invert the matrix
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a row of zeros in the augmented matrix indicate?
A unique solution
No solution
An infinite number of solutions
A singular matrix
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