
Linear First-Order Differential Equations Quiz
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integrating factor for the equation y' + y = 2x?
e^x
e^(2)
e^(2x)
e^(x^2)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation y' + y = 2x, what is the result after dividing by the integrating factor?
y = 2x + 2 - Ce^(-x)
y = 2x - 2 + Ce^x
y = 2x + 2 + Ce^x
y = 2x - 2 + Ce^(-x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integrating factor for the equation x(dy/dx) - 2y = x^3 after converting to normal form?
1/x^2
x^2
e^(x^2)
e^(-x^2)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After applying the integrating factor to the equation x(dy/dx) - 2y = x^3, what is the resulting expression for y?
y = x^3 + Cx^2
y = x^2 + Cx^3
y = x^3 - Cx^2
y = x^2 - Cx^3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integrating factor for the equation dy/dx + 4y = e^(-x)?
e^(4x)
e^(-4x)
e^(x)
e^(-x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation dy/dx + 4y = e^(-x), what is the expression for y after solving?
y = (1/3)e^(-x) - Ce^(4x)
y = (1/3)e^(x) + Ce^(4x)
y = (1/3)e^(-x) + Ce^(-4x)
y = (1/3)e^(x) - Ce^(-4x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integrating factor for the equation T^2y' + 3Ty = sin(T) after converting to normal form?
1/T^2
T^3
1/T^3
T^2
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