Solve the following initial-value problem, determine the type of the equilibriui Lon (0,0) , and sketch a phase portrait: dx x + Y, x (0) = 0 dt dy 4x + Y, y (0) = 3 dt

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A: topic - differential equations

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A: Autonomous Differential Equation: A differential equation of the form,…

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A: We use the Leibnitz rule of differentiation under integral sign to solve the given problem.

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 14x – 60x? – læ + 3)dx…

A: Since you have posted a multiple question according to guildlines I will solve first  question for…