Question

Differential equations question

Answer 1

find \(L \lbrace \psi (t) \rbrace\) where \(\psi (t)\) = 4; \(0 < t< 1\)
=3; \(t>1\)

Answer 2

what does that mean?

Answer 3

to my understanding...it will be Laplace Transform

Answer 4

\[\mathcal L\{\}\]?

Answer 5

yes it is laplace transform...but idk what those notations mean

Answer 6

looks like the laplace transform of a piecewise function to me

Answer 7

uhhh piecewise? nevermind then...we havent discussed that yet...

Answer 8

\[\psi(t) =\begin{cases}4 & 0<t<1\\3 & t>1\end{cases}\]
\[\mathcal L\{\psi(t)\}(s)=\qquad\]

Answer 9

use the Heaviside unit step function at t=1