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MTH401 : Differential Equations

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Dr. Junaid Zaidi
University of Birmingham, England (UK)

Course Contents

Separable Equations, Homogeneous Differential Equations, Exact Differential Equations, Integrating Factor Technique, First Order Linear Equation, Bernoulli Equations, Applications of First Order Differential Equations, Radioactive Decay, Applications of Non Linear Equations, Higher Order Linear Differential Equations, Homogeneous Linear Equations with Constant Coefficients, Method of Undetermined Coefficients ( Superposition Approach), Method of Undetermined Coefficients (Annihilator Operator Approach), Variation of Parameters for Higher-Order Equations, Applications of Second Order Differential Equations, Damped Motion, Forced Motion, Differential Equations with Variable Coefficients, Cauchy-Euler Equation: Alternative Method of Solution, Power Series, Solution about Ordinary points, Solution about Singular Points, Bessel's Differential Equation, Legendre's Differential Equation, Systems of Linear Differential Equations, System of Linear First Order Equation, Eigen value Problem, Matrices and Systems of Linear First-Order Equations, Homogeneous Linear Systems, Linear and Repeated Eigen values, Non-Homogeneous System.