The given two parameter family is a solution of the indicated differential equation on the interval ( , ) Determine whether a member of the family can be found that satisfies the boundary conditions y c 1 x 2 c 2 x 4 3 x 2 y ' ' 5 xy ' 8 y 2 4 ( a ) y ( 1 ) 0 , y ( 1 ) 6 A member can be found A member cannot be found ( b ) y ( 0 ) 8 , y ( 1 ) 6 A member can be found A member cannot be found ( c ) y ( 0 ) 3 , y ( 1 ) 0 A member can be found A member cannot be found ( d ) y ( 1 ) 3 , y ( 2 ) 1 5 A member can be found A member cannot be found

Question

The given two   parameter family is a solution of the indicated differential equation on the interval ( , )   Determine whether a member of the family can be found that satisfies the boundary conditions  y   c 1 x 2   c 2 x 4   3   x 2 y  '  ' 5 xy  '   8 y   2 4 ( a ) y ( 1 )   0 , y ( 1 )   6 A member can be found A member cannot be found  ( b ) y ( 0 )   8 , y ( 1 )   6 A member can be found A member cannot be found  ( c ) y ( 0 )   3 , y ( 1 )   0 A member can be found A member cannot be found  ( d ) y ( 1 )   3 , y ( 2 )   1 5 A member can be found A member cannot be found

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The given two - parameter family is a solution of the indicated differential equation on the interval ( , ) . Determine whether a member

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