Dsolve answer different than expected answer.
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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.
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2022-3-26
2022-3-26
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