Question

find the particular solution that satisfies the differential equation and the initial condition
f'(x) = 10s - 12s^3, f(x) = 2

Answer 1

Where is the equation and the initial condition?

Answer 2

f'(x) = 10s - 12s^3, f(x) = 2

Answer 3

do you convert it to laplace already? because the function respects to x from the left hand side f (x) but it respects to s at the right hand side. To me , It makes perfect nonsense, hehehe

Answer 4

im sorry it is f'(s) not f'(x)

Answer 5

and the condition should be f(0) =2 or else?

Answer 6

it says that f(3)=2

Answer 7

oh yea, got you, you just take integral to get f(x) and plug x =3 into the result to find C , then plug that C back to the result. That's it.
Show your work if you get me, please