40. The direction field for the ODE y\'= (3-y)/2 is given below. On this directi

Question

40. The direction field for the ODE y'= (3-y)/2 is given below. On this direction field are seven curves labeled 1,2, 3,4, 5,6, and 7 that were correctly or incorrectly drawn using the direction field. Consider the initial value problem (IVP): IVP ODE y' = (3-y)/2 IC y(0) = 1 The curve or curves that is the solution to this IVP is _ ABCDE (Hint: Do not solve the IVP.) A) 1 B) 2 C) 3 D) 4 E) 5 F) 1 and 2 AB) 2 and 3 AC). 3 and AD) 4 and 5 AE) 1, 2, and 3 BC) 2, 3, and 4 BD) 3, 4, and 5 BE) 1,2, 3,4, and 5 CD) None of the above

Explanation / Answer

1) A

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