Question

Find the particular solution that satisfies the differential equation and the initial condition.

f '(s) = 10s − 4s3, f(3) = 7

&

f ''(x) = 6, f '(2) = 14, f(2) = 19

Answer 1

f '(s) = 10s − 4s^3
f(s) = 5s^2 - s^4 + C
f(3)=7, so
5*9-81+C = 7

Do the same for the 2nd one, but use both specified conditions to find the constants.