Consider the differential equation for the function y y = 3y. Find an implicit expression for...

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Consider the differential equation for the function y y = 3y³. Find an implicit expression for all solutions y of the differential equation above, in the form y(t, y) = c , where c collects all integration constants. y(t, y) = Note: Do not include the constnat c in your answer. (1a) Find the explicit expression for a solution y1(t) of differential equation above that satisfies the initial condition y1(0) = 1. yl(t) = t1 = (1b) Find the largest value 11 such that the solution y1 is defined on [0, 11). y2(t) = Σ (2a) Find the explicit expression for a solution y2(t) of differential equation above that satisfies the initial condition y2(0) = 2. Σ t2 = Σ Σ (2b) Find the largest value 12 such that the solution y2 is defined on [0, 12). Consider the differential equation for the function y y = 3y³. Find an implicit expression for all solutions y of the differential equation above, in the form y(t, y) = c , where c collects all integration constants. y(t, y) = Note: Do not include the constnat c in your answer. (1a) Find the explicit expression for a solution y1(t) of differential equation above that satisfies the initial condition y1(0) = 1. yl(t) = t1 = (1b) Find the largest value 11 such that the solution y1 is defined on [0, 11). y2(t) = Σ (2a) Find the explicit expression for a solution y2(t) of differential equation above that satisfies the initial condition y2(0) = 2. Σ t2 = Σ Σ (2b) Find the largest value 12 such that the solution y2 is defined on [0, 12).