What is the first step in separating variables in a differential equation?
How to find the particular solution of a differential equation

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Add a constant to both sides
Multiply by y squared on both sides
Multiply by x squared on both sides
Divide by y on both sides
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the constant of integration, C, simplified in the integration process?
To ensure the equation is linear
To avoid confusion with multiple constants
To make the equation more complex
To eliminate the need for integration
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the benefit of solving for the constant C before proceeding further?
It makes the equation more difficult to solve
It simplifies the process and reduces errors
It ensures the equation is non-linear
It allows for more constants to be added
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the value of C determined in the equation?
By guessing the value
By integrating both sides again
By substituting known values of x and y
By differentiating the equation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of verifying the solution by substituting values back into the equation?
To make the equation more complex
To find a new constant
To ensure the solution is correct
To change the form of the equation
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