Functions of Laplace transform
Functions of Laplace transform $$ 1. \ L\left[ 1 \right] = \frac 1s $$ $$ 2. \ L\left[ e^{at} \right] = \frac {1}{s-a} $$ $$ 3. \ L\left[ t^n \right]…
Functions of Laplace transform $$ 1. \ L\left[ 1 \right] = \frac 1s $$ $$ 2. \ L\left[ e^{at} \right] = \frac {1}{s-a} $$ $$ 3. \ L\left[ t^n \right]…
Properties of Laplace transform 1. Linearity Property $$ A f_1(t) + B f_2(t) \longleftrightarrow A F_1(s) + B F_2(s) $$ 2. Frequency Shifting Property $$ e^{s_0t} f(t)) \longleftrightarrow F(s –…
Introduction The Laplace transform is an integral transform perhaps second only to the Fourier transform in its utility in solving physical problems. The Laplace transform is particularly useful in solving…