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The Initial Value Problem y=y29,y(x0)=y0y ^ { \prime } = \sqrt { y ^ { 2 } - 9 } , y \left( x _ { 0 } \right) = y _ { 0 }

Question 17

Multiple Choice

The initial value problem y=y29,y(x0) =y0y ^ { \prime } = \sqrt { y ^ { 2 } - 9 } , y \left( x _ { 0 } \right) = y _ { 0 } has a unique solution guaranteed by Theorem 1.1 if


A) y0=3y _ { 0 } = 3
B) y0=3y _ { 0 } = - 3
C) y0=5y _ { 0 } = 5
D) y0=0y _ { 0 } = 0
E) y0=1y _ { 0 } = 1

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