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In the right-half tx plane (t ≥ 0), plot the nullclines of the differential equation x′...

In the right-half tx plane (t ≥ 0), plot the nullclines of the differential equation x′ = 2x2(x − 4√t). Determine the sign of the slope field in the regions separated by the nullclines. Sketch the approximate solution curve passing through the point (1,4). Why can’t your curve cross the x = 0 axis?

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right-half tx plane (t ≥ 0), plot the nullclines and

approximate solution curve passing through the point (1,4) respectively given by the plots.

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