INTEGRAL TRANSFORM

Unit-I Laplace Transform : 1.1Linearity property1.2Existence theorem 1.3Shifting theorem1.4Change of scale property 1.5Laplace transforms of derivatives and integrals 1.6Differentiation and integration of the Laplace transforms 1.7Multiplication and division by 't' 1.8Periodic function Unit-II Inverse Laplace Transform : 2.1Linearity property2.2Shifting theorem 3.3Change of scale property 2.4Inverse Laplace transforms of derivatives and integrals 2.5Multiplication and division by powers of p 2.6Convolution theorem 2.7Heaviside expansion theorem Unit-III Application of Laplace Transform : 3.1Solution of ordinary differential equations with constant coefficients 3.2Solution of ordinary differential equations with variable coefficients Unit-IV Fourier Transform : 4.1Linearity property4.2Shifting theorem 4.3Change of scale property4.4Modulation 4.5Convolution theorem 4.6Fourier transform of derivatives 4.7Relations between Fourier transform and Laplace transform 4.8Parseval's identity for Fourier transform 4.9Solution of differential equations using Fourier transform

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