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  3. 2. in each of the following problem sketch the gra

2. In each of the following problem sketch the graph of f(y) versus y, determine the...

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Advance Math

2. In each of the following problem sketch the graph of f(y)versus y, determine the equilibrium solutions, and classify eachone as asymptotically stable, asymptotically unstable, orsemi-stable. Draw the phase line, and sketch several graphs ofsolutions in the ty-plane. Here y0 = y(0).

(a) dy/dt = e ^y ? 1, ?? < y0 < ?

(b) dy/dt = (e^-y) ? 1, ?? < y0 < ?

(c) dy/dt = (y^2)* (1 ? y)^ 2 , ?? < y0 < ?

(d) dy/dt = y(1 ? y ^2 ), ?? < y0 < ?

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