المعادلات التفاضلية

الوصف

- rst order ordinary differential equations (Separable, Homogeneous, Exact, Linear and Bernoulli’s equations) –Second order ordinary differential equations with constant coefficients (General solution of homogeneous and Non-homogeneous equations: Method of undetermined coefficients– The Method of variation of parameters)–Second order ordinary differential equations with variable coefficients:[Cauchy- Euler Equation] – Laplace transforms(First Shifting Theorem – Derivatives of Transforms – Transform Integration – Unit Step Function – Second Shifting Theorem – Convolution Theorem) – Inverse Laplace Transforms – Applications(Solution of ODEs using Laplace Transforms –Solution of R-L circuit using the Laplace Transforms)–Fourier series of functions of period 2P, Fourier series for even and odd functions, half range expansions and for harmonic functions.

البرنامج

بكالوريوس هندسة الحاسب آلى

الأهداف

• - rst order ordinary differential equations (Separable, Homogeneous, Exact, Linear and Bernoulli’s equations) –Second order ordinary differential equations with constant coefficients (General solution of homogeneous and Non-homogeneous equations: Method of undetermined coefficients– The Method of variation of parameters)–Second order ordinary differential equations with variable coefficients:[Cauchy- Euler Equation] – Laplace transforms(First Shifting Theorem – Derivatives of Transforms – Transform Integration – Unit Step Function – Second Shifting Theorem – Convolution Theorem) – Inverse Laplace Transforms – Applications(Solution of ODEs using Laplace Transforms –Solution of R-L circuit using the Laplace Transforms)–Fourier series of functions of period 2P, Fourier series for even and odd functions, half range expansions and for harmonic functions..