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arrow_back Show that the solution of the above differential equation is $$ y=\frac{1}{2}\left(\mathrm{e}^{2 x}+3\right) \cos x . $$

by Platinum
(119,140 points)
in Mathematics
104 views
$$
\frac{d y}{d x}+y \tan x=\mathrm{e}^{2 x} \cos x, y(0)=2 \text {. }
$$
Show that the solution of the above differential equation is
$$
y=\frac{1}{2}\left(\mathrm{e}^{2 x}+3\right) \cos x .
$$

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