Find the particular solution that satisfies the differential equation and the initial condition. f ''(x) = x2, f '(0) = 6, f(0) = 2
f(x)=

c

step-by-step explanation:

i think because what else can be a sample of every member

-2/

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal