A function satisfies with

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

Problem

A function y(x)y(x) satisfies dydx=x1+y2\dfrac{dy}{dx}=\dfrac{x}{1+y^{2}} with y(0)=0y(0)=0. Which of the following is the best approximation of y(1)y(1)? (a) 0.820.82 (b) 0.520.52 (c) 1.141.14 (d) 0.410.41

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