Find the Particular Solution of the Differential Equation $e ^ { 8 x } ( \sin 8 y d x + \cos 8 y d y ) = 0$

question 19

Multiple Choice

Find the particular solution of the differential equation
$e ^ { 8 x } ( \sin 8 y d x + \cos 8 y d y ) = 0$ that satisfies the initial condition $y ( 0 ) = \pi$ .

• A) \(e ^ { 8 x } \sin 8 y = 1\)
• B) \(e ^ { 8 x } \sin 8 y = e ^ { 8 x }\)
• C) \(e ^ { 8 x } \cos 8 y = 0\)
• D) \(e ^ { 8 x } \cos 8 y = 1\)
• E) \(e ^ { 8 x } \sin 8 y = 0\)

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