A = 3.2 because -4.5 + 1.3 = 3.2
The answer is D. Because (18 x 10^6) + (5 x 10^4) = 18050000. And the answer to 1.805 x 10^7 also equals 18050000, if you do the math.
The characteristic solution follows from solving the characteristic equation,

so that

A guess for the particular solution may be

, but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to

which has second derivative

Substituting into the ODE, you have



Therefore the particular solution is

Note that you could have made a more precise guess of

but, of course, any solution of the form

is already accounted for within

.
30 seconds, half a minute.
You basically do 80-70 as the numerator of a fraction which should equal 10 and then the denominater should be 80 so you then do 10 divided by 80 and multiply your answer by 100 Hope This Helps You