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Please help Consider a differential equation.y' = F(y)Using the method of direction fields, draw a graph of a function F(y) such that the following conditions
Please help Consider a differential equation.y' = F(y)Using the method of direction fields, draw a graph of a function F(y) such that the following conditions are satisfied:? there are precisely 4 equilibrium solutions to y' = F(y), and If y(x) in the solution to the initial value problem y' = F(y), y(0) = y0 then Limx-> ? y(x) exists if and only if -1 ? y0 ? 4Draw the direction field for y' = F(x) as well and sketch a variety of representative potential solutions Please show all your work
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