Find the general solution of the equation given in Exercise using computer software, and also the particular solution corresponding to the given initial condition.
Show that the equation is exact, and obtain its general solution. Also, find the particular solution corresponding to the given initial condition as well.
(4x3y5 sin 3x + 3x4y5 cos 3x)dx + 5x4y4 sin 3x dy = 0; y(0) = 1
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