Which of the following is NOT a method to solve first order, first degree differential equations?
Differential Equations: Variable Separable Form

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Mathematics
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11th - 12th Grade
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Quadratic
Linear
Homogeneous
Variable separable
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the variable separable method, what is the first step after identifying the type of differential equation?
Separate the variables
Differentiate both sides
Add an arbitrary constant
Multiply by a constant
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the arbitrary constant 'C' in the solution of a differential equation?
It accounts for the family of solutions
It is a placeholder for integration
It is used to eliminate variables
It represents a specific solution
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding a particular solution, what additional information is required?
The degree of the equation
The type of differential equation
The method of integration
Initial conditions or specific points
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent to a curve at any point (x, y) if dy/dx = 4x/y^2?
4x
4x/y^2
y^2
x/y
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of continuous interest, what does the principal 'P' represent?
The initial amount of money
The interest rate
The time period
The final amount after interest
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the time 't' calculated for a principal to double at a continuous interest rate?
By solving a quadratic equation
By using the formula for compound interest
By integrating the differential equation
By applying the rule of 72
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