For the differential equation with initial condition

MATHEMATICS · Single correct · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

For the differential equation

\dfrac{dy}{dx}=4y

with initial condition

y(0)=2

, which of the following expressions is the particular solution that satisfies the initial condition? (a)

y = Ce^{4x}

(b)

y = 2e^{x}

(c)

y = 2e^{4x}

(d)

y = 8e^{4x}