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Solve the Differential Equation (36+tan2x)yt=sec2x\left( 36 + \tan ^ { 2 } x \right) y ^ {t } = \sec ^ { 2 } x

Question 83

Multiple Choice

Solve the differential equation
(36+tan2x) yt=sec2x\left( 36 + \tan ^ { 2 } x \right) y ^ {t } = \sec ^ { 2 } x


A) y=16arctan(secx6) +Cy = \frac { 1 } { 6 } \arctan \left( \frac { \sec x } { 6 } \right) + C
B) y=arctan(secx6) +Cy = \arctan \left( \frac { \sec x } { 6 } \right) + C
C) y=16arctan(tanxsecx6) +Cy = \frac { 1 } { 6 } \arctan \left( \frac { \tan x \sec x } { 6 } \right) + C
D) y=16arctan(tanx6) +Cy = \frac { 1 } { 6 } \arctan \left( \frac { \tan x } { 6 } \right) + C
E) y=arctan(tanx6) +Cy = \arctan \left( \frac { \tan x } { 6 } \right) + C

Correct Answer:

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