
Differential Equations and Solutions
Interactive Video
•
Mathematics, Physics, Science
•
11th Grade - University
•
Practice Problem
•
Hard
Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the spring constant in the given mass-spring system?
90 N/m
10 N/m
5 N/m
140 N/m
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to solve the homogeneous differential equation?
Separation of variables
Laplace transform
Characteristic equation
Method of undetermined coefficients
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the roots of the characteristic equation?
-9 and -14
9 and 14
2 and 7
-2 and -7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What form is assumed for the particular solution using the method of undetermined coefficients?
a ln(t) + b
a e^t + b e^-t
a cos(t) + b sin(t)
a t^2 + b t
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'a' in the particular solution?
0
1/2
9/500
13/500
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general solution composed of?
Product of complementary and particular solutions
Sum of complementary and particular solutions
Only the particular solution
Only the complementary solution
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What initial condition is used to find C1 and C2?
x(0) = 0
x'(0) = 0
x(0) = 1
x'(0) = 1
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