Solve the Ordinary Diferential Equation using Laplace Transformation y’’’ – 3y’’ + 3y’ – y = t2 et when y(0) = 1, y’(0)
Posted: Thu Jul 14, 2022 9:41 am
a) \(2e^t \frac{t^5}{720}+e^t+2e^t \frac{t}{6}+4e^t \frac{t^2}{24} \)
b) \(e^t \frac{t^5}{720}+2e^{-t}+2e^t \frac{t}{6}+4e^t \frac{t^2}{24} \)
c) \(e^{-t} \frac{t^5}{720}+e^{-t}+2e^{-t} \frac{t}{6}+4e^{-t} \frac{t^2}{24} \)
d) \(2e^{-t} \frac{t^5}{720}+e^{-t}+2e^{-t} \frac{t}{6}+4e^{-t} \frac{t^2}{24} \)
b) \(e^t \frac{t^5}{720}+2e^{-t}+2e^t \frac{t}{6}+4e^t \frac{t^2}{24} \)
c) \(e^{-t} \frac{t^5}{720}+e^{-t}+2e^{-t} \frac{t}{6}+4e^{-t} \frac{t^2}{24} \)
d) \(2e^{-t} \frac{t^5}{720}+e^{-t}+2e^{-t} \frac{t}{6}+4e^{-t} \frac{t^2}{24} \)