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3. Consider the following first order differential equation: (1-17) = t(1-t) (a) What type of equation is this? Find the general solution. (b) Find the

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3. Consider the following first order differential equation: (1-17) = t(1-t) (a) What type of equation is this? Find the general solution. (b) Find the unique solution for the initial condition y(0) - 2. (c) Show that there is no solution for the initial condition y(1) - 2. Why is this not a violation of the existence theorem

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