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d<br />
d<br />
∴<br />
x<br />
y<br />
cos ysin 2 y − xsin<br />
y<br />
= = sin 2 y − x tan y,<br />
cos y<br />
d<br />
d<br />
x<br />
y<br />
+<br />
( tan y) ⋅ x = sin 2 y,<br />
x<br />
=<br />
e<br />
ln cos<br />
y<br />
[ ]<br />
−ln cos y<br />
sin 2 y ⋅ e d y C<br />
∫ +<br />
⎡ 2sin ycos<br />
y ⎤<br />
= cos y⎢∫ d y + C⎥<br />
= cos y[ C − 2cos y].<br />
⎣ cos y ⎦