Consider . For which value of does this function satisfy the differential equation…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider

y=mx^{2}+3x+1

. For which value of

m

does this function satisfy the differential equation

\dfrac{dy}{dx}=2x+3m

for all real numbers

x

? (a)

m=\dfrac{3}{2}

(b)

m=1

(c)

m=0

(d)

m=\dfrac{1}{3}