D find a solution of the initial value problem 2 x 8

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(d) Find a solution of the initial-value problem. 5. 8/10 points | Previous Answers SCalcET7 9.1.008. (a) What can you say about the graph of a solution of the equation when x is close to 0? What if x is large? .) (b) Verify that all members of the family are solutions of the differential equation y' = (1/ 2 ) y 2 y = 2 x + C y' = ( x + C ) LHS = y' = = = y 2 = RHS ( x + C ) 1 2 2 x + 2 1 2 . 2 2 2 2 C y' = (1/ 2 ) y Every solution of is a member of the family in part (b). is a solution of that is not a member of the family in part (b). is a solution of that is not a member of the family in part (b). is a solution of that is not a member of the family in part (b). is a solution of that is not a member of the family in part (b). y' = (1/2) y y = x y' = (1/2) y y = 2 y' = (1/2) y y = 0 y' = (1/2) y y = e 2 x y' = (1/2) y 2 2 2 2 2 2

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