
Separation of Variables in Differential Equations

Interactive Video
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Mathematics
•
11th Grade - University
•
Hard
Standards-aligned

Amelia Wright
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of using the separation of variables technique in solving differential equations?
To isolate each variable on different sides of the equation
To combine variables on both sides of the equation
To convert the equation into a polynomial form
To eliminate variables from the equation
Tags
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of a differential equation that can be solved using separation of variables?
Y part minus dy/dx equals X part
Y part plus dy/dx equals X part
Y part divided by dy/dx equals X part
Y part times dy/dx equals X part
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what operation is performed to isolate the Y part of the equation?
Division by y^2 on both sides
Subtraction of y^2 from both sides
Multiplication by y^2 on both sides
Addition of y^2 to both sides
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating the equation in the first example?
y = 1/x^2 + C
y = x^2 + C
y = 1/x^3 + C
y = x^3 + C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what trigonometric function is used to rewrite the equation?
Cotangent
Tangent
Cosine
Sine
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the anti-derivative of cotangent x?
Natural log of cosine x
Natural log of sine x
Natural log of tangent x
Natural log of cotangent x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used to find the anti-derivative of cotangent x?
U = cosine x
U = cotangent x
U = tangent x
U = sine x
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