Two Linearly Independent Solutions of the Differential Equation $y ^ { \prime \prime } - 5 y ^ { \prime } + 6 y = 0$

question 39

Multiple Choice

Two linearly independent solutions of the differential equation $y ^ { \prime \prime } - 5 y ^ { \prime } + 6 y = 0$ are

• A) \(y _ { 1 } = e ^ { 2 x } , y _ { 2 } = e ^ { 3 x }\)
• B) \(y _ { 1 } = e ^ { - 2 x } , y _ { 2 } = e ^ { - 3 x }\)
• C) \(y _ { 1 } = e ^ { 6 x } , y _ { 2 } = e ^ { - x }\)
• D) \[y _ { 1 } = e ^ { - 6 x } , y _ { 2 } = e ^ { x }\]
• E) \(y _ { 1 } = e ^ { - 6 x } , y _ { 2 } = e ^ { - x }\)

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