拉普拉斯变换初始条件

Question

How to define initial conditions for Laplace transform in Sympy? For example:

t,s = symbols('t s')
x = Function('x')(t)
laplace_transform(diff(x,t),t,s cond=(x(0) = 1))

So the output would be:

s*L(x) - 1

Answer 1

Laplace transforms of undefined functions are not yet implemented. There is an issue tracking this. Perhaps the simple workaround implementation in that issue will work for you for now.