The Initial Value Problem $y ^ { \prime } = \sqrt { y ^ { 2 } - 16 } , y \left( x _ { 0 } \right) = y _ { 0 }$

question 38

Multiple Choice

The initial value problem $y ^ { \prime } = \sqrt { y ^ { 2 } - 16 } , y \left( x _ { 0 } \right) = y _ { 0 }$ has a unique solution guaranteed by Theorem 1.1 if

• A) \(y _ { 0 } = 4\)
• B) \(y _ { 0 } = - 4\)
• C) \(y _ { 0 } = 0\)
• D) \(y _ { 0 } = 8\)
• E) \(y _ { 0 } = 1\)

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