In Problems y 1 (1 c 1 e x ) is a one parameter family of solutions of the first order DE y ' y y 2 Find a solution of the first order IVP consisting of this differential equation and the given initial condition 1 y(0) 1 3 2 y(1) 2

Question: In Problems y = 1/(1+ c 1 e -x ) is a one-parameter family of solutions of the first order DE y' = y -y

In Problems y = 1/(1+ c₁e^-x) is a one-parameter family of solutions of the first order DE y' = y -y². Find a solution of the first-order IVP consisting of this differential equation and the given initial condition.

1. y(0) = -1/3

2. y(1) = 2

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