Solve the Differential Equation Using the Method of Variation of Parameters

question 10

Multiple Choice

Solve the differential equation using the method of variation of parameters. $$y ^ { tt } - y ^ { t } = e ^ { 9 x }$$

• A)\(y ( x ) = c _ { 1 } + c _ { 2 } x e ^ { x } + \frac { e ^ { 9 x } } { 72 }\)
• B) \(y ( x ) = c _ { 1 } + x e ^ { 9 x }\)
• C) \(y ( x ) = c _ { 1 } + ( 1 + x ) x e ^ { 9 x }\)
• D)\(y ( x ) = c _ { 1 } + c _ { 2 } e ^ { x } + \frac { e ^ { 9 x } } { 72 }\)
• E) \(y ( x ) = c _ { 1 } + c _ { 2 } x e ^ { 9 x }\)