Solve the Differential Equation $y ^ { t } = x ^ { 5 } e ^ { - \sin x } - y \cos x$

question 79

Multiple Choice

Solve the differential equation.
$y ^ { t } = x ^ { 5 } e ^ { - \sin x } - y \cos x$

• A) \(y = \left( 6 x ^ { 6 } + C \right) e ^ { - x } \sin x\)
• B) \(y = 5 C e ^ { - \sin x }\)
• C)
• \(y = \left( \frac { 1 } { 6 } x ^ { 6 } + C \right) e ^ { - \sin x }\)
• D) \(y = e ^ { - \sin x } + 5 C x ^ { 5 }\)
• E) \(y = \frac { 1 } { 6 } x + C e ^ { - \cos x }\)

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