Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = \tan t \sec ^ { 2 } t ; y ( 0 ) = 1$

question 48

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = \tan t \sec ^ { 2 } t ; y ( 0 ) = 1$

• A) y = ln \(| \tan \mathrm { t } |\) + 1
• B) y = \(\frac { \tan ^ { 2 } \mathrm { t } } { 2 }\) + 1
• C) y = tan t + 1
• D) y = \(\frac { \sec ^ { 2 } t } { 3 }\) + \(\frac { 2 } { 3 }\)

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