F= 9 x 7 = 63
G= 19 x 4 = 76
H= 12 x 4 = 48
J = 32 x 2 = 64
J is the answer
I believe that the answer is B. y=-7x+41
It looks like the ODE is

with the initial condition of
.
Rewrite the right side in terms of the unit step function,

In this case, we have

The Laplace transform of the step function is easy to compute:

So, taking the Laplace transform of both sides of the ODE, we get

Solve for
:

We can split the first term into partial fractions:

If
, then
.
If
, then
.


Take the inverse transform of both sides, recalling that

where
is the Laplace transform of the function
. We have


We then end up with

Answer:
x ≓ 3.242593855
Step-by-step explanation: