Variables and satisfy the differential equation

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

Problem

Variables

x

and

y

satisfy the differential equation

\frac{dy}{dx} = \sin(x + y)

. When

x = 0

y = 2

. Use Euler's method with step size 0.1 to approximate the value of

y

when

x = 0.4

. Give your answer to three decimal places.