
Differential Equations and Their Solutions

Interactive Video
•
Mathematics
•
11th Grade - University
•
Hard
+1
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 initial guess for the solution to the differential equation Y' = KY?
y = c * e^(KX)
y = c * X^K
y = c * e^(-KX)
y = c * KX
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What assumption is made about y to rewrite the differential equation?
y = 0
y ≠ 0
y < 0
y > 0
Tags
CCSS.HSF.BF.B.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem is used to switch the roles of X and Y in the equation?
Intermediate Value Theorem
Inverse Function Theorem
Mean Value Theorem
Fundamental Theorem of Calculus
Tags
CCSS.HSF.BF.B.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of 1/y with respect to y?
y^2/2
e^y
1/y
ln|y|
Tags
CCSS.HSA.REI.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed to both sides of the equation to solve for y?
Subtracting a constant
Taking the reciprocal
Taking the logarithm
Multiplying by a constant
Tags
CCSS.HSF.BF.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the logarithmic equation transformed into an exponential equation?
By multiplying by e
By raising e to the power of both sides
By dividing by e
By taking the square root
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general solution to the differential equation Y' = KY?
y = c * X^K
y = c * KX
y = c * e^(-KX)
y = c * e^(KX)
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