A curve satisfies and passes through

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

Problem

A curve satisfies

\dfrac{dy}{dx}=x+y

and passes through

(0,1)

. Using equal horizontal steps of length

0.5

, which value is the best Euler estimate of

y(1)

? (a)

3.0

(b)

2.5

(c)

2.0

(d)

2.25