Let be a differentiable function satisfying with initial condition

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

Problem

Let

y

be a differentiable function satisfying

\dfrac{dy}{dt}=0.3y

with initial condition

y(0)=500

. Using a constant step size of

0.1

hour, which of the following is the BEST numerical estimate of

y(0.1)

obtained by a single tangent-line step? (a)

650

(b)

501.5

(c)

515

(d)

530