I have following integro-differential equation:
I tried to solve it using symbolic math toolbox in Matlab:
syms x(t)
Dx = diff(x,t)
cond = x(0)==1
eqn = Dx + 2*x + 2*int(x) == 0
x(t) = dsolve(eqn, cond)
dsolve gives:
x(t) =
exp(1 - (2*t + 2)^2/4)
Matlab solution is wrong.
Solving equation by hand using Laplace transform I get:
Why Matlab gives the wrong symbolic solution? Thank you.