
Understanding Exact Differential Equations

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

Liam Anderson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of the given differential equation?
Linear differential equation
Exact differential equation
Non-linear differential equation
Partial differential equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true for a differential equation to be exact?
The equation must be linear
The partial derivative of M with respect to y equals the partial derivative of N with respect to x
The equation must be homogeneous
The partial derivative of M with respect to x equals the partial derivative of N with respect to y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the potential function Big F?
Solve for y
Integrate with respect to x
Differentiate with respect to y
Differentiate with respect to x
Tags
CCSS.HSF-BF.B.4A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When integrating to find Big F, what must be added to account for the function of Y?
A constant
A function of x
A function of y
A variable
Tags
CCSS.HSF-BF.B.4A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the function of Y determined after finding Big F?
By integrating Big F with respect to x
By integrating Big F with respect to y
By differentiating Big F with respect to x
By differentiating Big F with respect to y
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating the derivative of a with respect to y?
A constant
A function of x
y cubed
x cubed
Tags
CCSS.HSA-REI.B.4B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general solution of the differential equation?
X cubed plus y cubed equals c
Three x squared plus three y equals c
Three y squared plus three x equals c
X cubed plus three x y plus y cubed equals c
Tags
CCSS.8.EE.C.7B
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