A computer algebra system is recommended. Consider the initial value problem 2y + 3y' - 2y...

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A computer algebra system is recommended. Consider the initial value problem 2y" + 3y' - 2y = o, y(0) = 1 y'(0) = -B, where B> 0. (a) Solve the initial value problem. y(t) = Find the coordinates (to, Yo) of the minimum point of the solution in this case. (Round your answers to six decimal places.) (to, Yo) = Find the smallest value of ß for which the solution has no minimum point. B: A computer algebra system is recommended. Consider the initial value problem 2y" + 3y' - 2y = o, y(0) = 1 y'(0) = -B, where B> 0. (a) Solve the initial value problem. y(t) = Find the coordinates (to, Yo) of the minimum point of the solution in this case. (Round your answers to six decimal places.) (to, Yo) = Find the smallest value of ß for which the solution has no minimum point. B: