
Quiz on Solving Initial Value Problems with Cauchy-Euler Differential Equations

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Amelia Wright
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the defining characteristic of a Cauchy-Euler differential equation?
The degree of the coefficient is unrelated to the order of the derivative.
The degree of the coefficient is greater than the order of the derivative.
The degree of the coefficient equals the order of the derivative.
The degree of the coefficient is less than the order of the derivative.
Tags
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to solve a second-order Cauchy-Euler differential equation?
Integration by parts
Separation of variables
Laplace transform
Auxiliary equation method
Tags
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of the auxiliary equation for a second-order Cauchy-Euler differential equation?
m^2 + bm - c = 0
m^2 - bm - c = 0
m^2 + bm + c = 0
m^2 - bm + c = 0
Tags
CCSS.8.EE.C.7B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of roots does the auxiliary equation have if the general solution involves complex numbers?
One real and one complex root
Two complex roots
Two equal real roots
Two distinct real roots
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the video, what are the values of alpha and beta for the complex roots?
Alpha = 7, Beta = 8
Alpha = 6, Beta = 7
Alpha = 8, Beta = 9
Alpha = 5, Beta = 6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial condition used to find the particular solution?
y(1) = -3
y(0) = 1
y(3) = 4
y(2) = 0
Tags
CCSS.8.EE.C.7B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of C1 in the particular solution?
2
-3
0
1
Tags
CCSS.8.EE.C.7B
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