এই ই-বুকের বিষয়ে
1.1 Linearity property 1.2 Existence theorem
1.3 Shifting theorem 1.4 Change of scale property
1.5 Laplace transforms of derivatives and integrals
1.6 Differentiation and integration of the Laplace transforms
1.7 Multiplication and division by 't'
1.8 Periodic function
Unit-II Inverse Laplace Transform :
2.1 Linearity property 2.2 Shifting theorem
3.3 Change of scale property
2.4 Inverse Laplace transforms of derivatives and integrals
2.5 Multiplication and division by powers of p
2.6 Convolution theorem
2.7 Heaviside expansion theorem
Unit-III Application of Laplace Transform :
3.1 Solution of ordinary differential equations with constant
coefficients
3.2 Solution of ordinary differential equations with variable
coefficients
Unit-IV Fourier Transform :
4.1 Linearity property 4.2 Shifting theorem
4.3 Change of scale property 4.4 Modulation
4.5 Convolution theorem
4.6 Fourier transform of derivatives
4.7 Relations between Fourier transform and Laplace transform
4.8 Parseval's identity for Fourier transform
4.9 Solution of differential equations using Fourier transform
