
Differential Equations Concepts Review
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct form of a linear first order differential equation?
dy/dt - P(t) * y = F(t)
dy/dt + P(t) * y = F(t)
dy/dt = P(t) * y + F(t)
dy/dt + y = P(t) * F(t)
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the given equation, what is the value of P(t)?
2
3
5
4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the integrating factor μ(t) determined?
By calculating e raised to the integral of P(t)
By differentiating P(t)
By integrating F(t)
By multiplying P(t) and F(t)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying the differential equation by the integrating factor?
To eliminate the constant term
To transform the equation into a derivative of a product
To simplify the equation
To find the value of y
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied to check the derivative of the product on the left side?
Product rule
Quotient rule
Power rule
Chain rule
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What method is used to evaluate the integral on the right side of the equation?
Integration by parts
Trigonometric substitution
Partial fractions
Substitution
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in integration by parts?
Multiply U and V
Choose U and differentiate it
Integrate U
Differentiate V
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