Dsolve answer different than expected answer.

I was tasked with using dsolve to get the answer for the first order linear differential equation y' + 6y = 3e^-2t. this is the code that I am using syms y(t)

eqn = diff(y,t) + 6*y == (3*exp(-2*t));
cond = y(0) == 2;
ySol(t) = dsolve(eqn,cond)

the answer given is (exp(-6*t)*(3*exp(4*t) + 5))/4

and I expected to get and answer equivalent to 3/4e^-2t + 5/4e^-6t

not sure where my error here lies.

Thank you in advance.

[Torsten]

The two expressions are equal.

Maybe a "simplify" on the result will give your solution.

[Thomas Kurupas]

Oh my goodness I see it now. Thank you so much I somehow missed that exp(-6*t) is multiplied by 5 making them equivalent.