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Statistics Probability Fourier Series Laplace Transformation Integral Transforms Numerical Techniques Calculus of Variations Tensor Analysis Z-transforms Infinite Series Gamma, Beta Functions Chebyshev Polynomials Fuzzy Sets Hankel Transform Hilbert Transform IES Go Premium.
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Comprehensive Practical Physics Class 12th New Advance Mathematics Top Searches in Vehicle Engineering: Objective Type Questions. Multiple Choice Questions.
Fill in the Blanks 4. Matching Type Total number of objective type questions are more than Table of Contents: Unit - I: Differential Equations Linear differential equations of nth order with constant coefficients, Complementary functions and particular integrals, Simultaneous linear differential equations, Solution of second order differential equation by changing dependent and independent variables, Method of variation of parameters, Applications to engineering problems without derivation.
Unit - II: Series Solution and Special Functions Series solution of ordinary differential equation of 2 nd order with variable coefficients Frobenius Method , Bessel and Legendre equations and their series solutions, Properties of Bessel functions and Legendre polynomials. Unit - III: Laplace Transform Laplace transform, Existence theorem, Laplace transform of derivatives and integrals, Inverse Laplace transform, Unit step function, Dirac delta function, Laplace transform of periodic functions, Convolution theorem, Application to solve simple linear and simultaneous differential equations.
Unit - IV: Unit - V: Applications of Partial Differential Equations Method of separation of variables for solving partial differential equations, Wave equation up to two-dimensions, Laplace equation in two-dimensions, Heat conduction equations up to two-dimensions, Equations of transmission lines. Download Sample PDF. Ordinary and Partial Differential Equations.
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Series Solution and Special Functions Series solution of ordinary differential equation of 2 nd order with variable coefficients Frobenius Method , Bessel and Legendre equations and their series solutions, Properties of Bessel functions and Legendre polynomials.
Most of the examples have been taken from previous question papers of I. The demand of Mathematical Physics by the students and teachers has encouraged me to revise the text book.
Advance Mathematics Social Science Value Education 3. Unit - II:
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