A particular solution to satisfies

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A particular solution to

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

satisfies

y(0)=0

. Using three equal horizontal steps of length

0.25

and the slopes given by the differential equation at the beginning of each step, approximate

y(0.75)

to the nearest thousandth.