Ask Your Question

bemol's profile - activity

2022-07-04 20:50:07 +0200 received badge  Popular Question (source)
2018-11-27 20:39:45 +0200 commented answer I'm trying to substitute a value in a Laplace transform

Thank you very much for your time. Now it works !! :D

2018-11-27 19:30:45 +0200 received badge  Student (source)
2018-11-27 09:26:06 +0200 asked a question I'm trying to substitute a value in a Laplace transform

Hello, I'm trying to solve a DE by using Laplace transforms, but when I get the lapalce transfrom of my DE I get this part s*D0(0) and I don't know how can I substitute D[0], I tried D0(0) == -1) but I get an error that says that D is not defined, I can subs y(0) == 1 with no issues. So my question is how can I substitute the value for y'(0)=-1 in the Laplace transform.

thank you for your help !.

t = var('t')
s = var('s')
y = function('y')(t)

ED = diff(y,t,2)-2*diff(y,t)-3*y==4

ED_Lap = ED.laplace(t,s)
ED_Lap = solve(ED.laplace(t,s),laplace(y(t), t, s))
print(ED_Lap)
show(ED_Lap[0].rhs().subs(y(0)==1,D[0](y)(0)==-1).inverse_laplace(s,t)) # I don't know how to subs D