Consider the differential equation dy/dx=e^y(3x^2-6x)

Consider the differential equation: dy/dx=ey(3x2-6x) a) Sketch a slope field for the given equation and include six points on the graph. b) FInd y=f(x), the particular solution to the differential equation that passes through (1,0). c) Write an equation for the tangent line to the graph of f at the point (1,0). Use the tangent line to approximate f(1,2).

Answer

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