Which of the Following Is a Solution of the Differential $\frac { d ^ { 3 } y } { d x ^ { 3 } } - \frac { d ^ { 2 } y } { d x ^ { 2 } } = 0$

question 119

Multiple Choice

Which of the following is a solution of the differential equation $\frac { d ^ { 3 } y } { d x ^ { 3 } } - \frac { d ^ { 2 } y } { d x ^ { 2 } } = 0$ that satisfies the initial conditions $y ( 0 ) = - 4$ , $y ^ { \prime } ( 0 ) = - 2$ , $y ^ { \prime \prime } ( 0 ) = - 3$ ?

• A) \(y = - 1 + x - 3 e ^ { - x }\)
• B) \(y = - 1 + x - 3 e ^ { x }\)
• C) \(y = - 1 + x + 3 e ^ { x }\)
• D) \(y = - 1 + x - 2 e ^ { x }\)
• E) \(y = - 1 - 3 e ^ { x }\)
• F) \(y = 1 + x - 4 e ^ { x }\)
• G) \(y = - 1 + x ^ { 2 } - 3 e ^ { x }\)
• H)None of these

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