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Differential equations

Course Description: Various types of first-order differential equations and their applications. Linear differential equations. Higher-order equations. Linear differential equations with constant coefficients. Reduction of order. Solving ordinary differential equations using series. The Frobenius method. Fourier series for odd and even functions. Integration of Fourier series.
Credit hours: 3
Prerequisites: MATH203
Objectives of the course :

Empower students to:

• Classification of differential equations, identifying their types, orders, and degrees.

Classify and solve first-order differential equations.

• Solve second-order and higher-order differential equations with constant coefficients.

Definition of differential equation applications.

Finding series solutions to differential equations using the method of Frobenius.

• Finding the Fourier series of various functions.

Course outputs :

1. Explain the meaning of differential equations, their types, order, and degree.
2. Classify first-order differential equations.

Define higher-order differential equations with constant coefficients.
4. Define the series solution for differential equations.
5. Identify systems of equations and solve them.
6. Define the Fourier series for some functions.
7. Calculate solutions for different types of first-order differential equations.

8. Solving higher-order ordinary differential equations with constant coefficients.

9. Calculate the series solution for the differential equations using the Frobenius method.

10. Solve the system of differential equations.
11. Calculate the Fourier series for some functions.

Additional information:
  • Last updated: 2026-05-17

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