Let satisfy with

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

Problem

Let

y

satisfy

\dfrac{dy}{dx}=e^{x-y}

with

y(1)=0

. Use four equal steps of length

\Delta x=0.25

to approximate

y(2)

. Provide the numerical approximation obtained at

x=2