I'm trying to an implicit solution of this equation but Matlab doesn't return anything
$$\frac{dy}{dx} = -y(t)-5e^{-t}-\sin(5t), \qquad y(0)=1$$
my try was like this:
syms y(x) t
eq=dsolve(diff(y,x)==-y(t) -5.*exp(-t)-sin(5.*t),y(0)==1)
I get that explicit solution couldn't be found
and when I try this in order to get implicit solutions, I get nothing either
eq=dsolve(diff(y,x)==-y(t) -5.*exp(-t)-sin(5.*t),y(0)==1,'Implicit')
what do I do?