Unit-I• First Order Differential Equations and their Applications • Linear Differential Equations of Higher Order and their Applications.Unit-II• Series Solution of Different Equations • Bessel’s Equation and Bessel Functions • Legendre’s Equation, Legendre Polynomials etc.Unit-III• Laplace Transformation and its applications • Infinite Series – Convergence and DivergenceUnit-IV• Fourier Series and Harmonic Analysis • First Order Partial Differential Equations • Partial Differential Equations of Higher Order and Applications.Unit-V• Physical Applications of Second Order P.D.Es. • Answers and Hints to Exercises • Examination Papers.
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