Consider the differential equation

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

Problem

y' + y = x e^{x}

. Which of the following functions is a solution? (a)

\dfrac{x}{2}e^{x}

(b)

\dfrac{2x-1}{4}e^{x}

(c)

\dfrac{2x-1}{4}e^{2x}

(d)

\dfrac{x^{2}}{2}e^{x}