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WorksheetsDE-REFRESHER-2025
Total questions: 15
Worksheet time: 13mins
What is the order of the differential equation
1
2
3
4
Determine the order of the equation
2
3
4
1
What is the degree of the equation
2
3
1
4
Find the degree
2
3
4
5
A mathematical equation that involves derivatives of a function.
Differential Calculus
Integral Calculus
Differential Equation
Advance Mathematics
A solution of a differential equation that contains arbitrary constants.
General Solution
Particular Solution
Singular Solution
Homogenous Solution
What is the highest degree of the polynomial
4
3
2
1
Identify the type of solution for a specific initial condition
Particular Solution
General Solution
Singular Solution
Homogeneous Solution
What is the order of the given differential equation
2
0
3
1
A function used to simplify the solution of non-exact differential equations.
Integrating Factor
Particular Solution
Characteristic Equation
Linear Operator
The process of testing if a differential equation is exact.
Integrating the equation with respect to x and y
Checking if the solution contains arbitrary constants
Verifying if partial derivatives are equal
Using Laplace transforms
These are differential equations in which all of its terms have the same degree.
Linear DE
Exact DE
Homogenous DE
Non-Homogenous DE
A first order differential equation that has form of
y' + p (x) = q(x)
Variable Separable
Linear DE
Homogenous DE
Exact DE
Eliminate the arbitrary constant of the equation
3y’+2y’’=0
-3y’+y’’=0
2y’-y’’=0
y’’+4y=0
Solve for the general solution: y’’-5y’+6y = 0
y=C1e^(2x)+C2e^(3x)
y=C1e^(3x)+C2e^(3x)
y=C1e^(3x)+C2e^(-3x)
y=C1e^(2x)+xC2e^(3x)
