Mathematics

Mathematics

Problem

The differential equation dydx=x2−y\dfrac{dy}{dx}=x^2-y is accompanied by the initial condition y(0)=1y(0)=1. Using the slope field, which point is most consistent with the location of the solution curve after a small increase in xx? a) (0.1,1.0)(0.1,1.0) b) (0.1,1.1)(0.1,1.1) c) (0.1,0.9)(0.1,0.9) d) (0.1,0.99)(0.1,0.99)

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