
How to solve a differentialble equation by separating the variables
Interactive Video
•
Mathematics, Social Studies
•
11th Grade - University
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
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5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the differential equation Y' = 5X/Y?
Add a constant to both sides
Separate variables by multiplying by DX and Y
Multiply both sides by Y
Integrate both sides immediately
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the constant of integration after integrating both sides?
By differentiating the equation again
By setting the constant to zero
By using the initial conditions provided
By guessing the value
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying by two after substituting the constant back into the equation?
To check the solution
To simplify the equation
To eliminate the fraction
To solve for X
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the negative square root chosen as the particular solution?
Because it is simpler to calculate
Because it satisfies the initial condition
Because it is the only solution
Because it is a positive value
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you verify that the particular solution is correct?
By comparing it with other solutions
By graphing the solution
By checking if it satisfies the initial condition
By differentiating it again
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