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

question 83

Multiple Choice

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

• A) \(y = \frac { 1 } { 6 } \arctan \left( \frac { \sec x } { 6 } \right) + C\)
• B) \(y = \arctan \left( \frac { \sec x } { 6 } \right) + C\)
• C) \(y = \frac { 1 } { 6 } \arctan \left( \frac { \tan x \sec x } { 6 } \right) + C\)
• D) \(y = \frac { 1 } { 6 } \arctan \left( \frac { \tan x } { 6 } \right) + C\)
• E)\(y = \arctan \left( \frac { \tan x } { 6 } \right) + C\)

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