Laplace transform

Concepts

• Laplace transform 10 exercisesThe Laplace transform mathcal L assigns to a function f(t), defined for t≥0, the function F(s) obtained by integrating f times e^…
• Inverse Laplace transform 10 exercisesThe inverse transform mathcal L^-1 of a function F(s) is the function f(t), defined for t≥0, whose Laplace transform is F(s).
• Laplace transform of a derivative 10 exercisesThe Laplace transform mathcal L of the derivative f' of a function f(t) with transform F(s) is an expression in F(s) and the init…
• Unit step function 10 exercisesThe unit step function u_c(t), with c≥0, equals 0 while t<c and equals 1 from t=c on; it is a switch that turns on at time c.
• Convolution 10 exercisesThe convolution f*g of two functions f and g, defined for t≥0, is the function of t that integrates from 0 to t the product of f(…