Consider the differential equation with initial condition

MATHEMATICS · Single correct · AP · Calculus BC · Differential Equations · Differential Equations

Problem

Consider the differential equation dydx=x2−y\dfrac{dy}{dx}=x^{2}-y with initial condition y(0)=0y(0)=0. Using horizontal step size 0.30.3, what is the best Euler estimate of y(0.6)y(0.6)? (a) −0.027-0.027 (b) 0.0900.090 (c) 0.0270.027 (d) 0.1080.108

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