- #1
jimmypoopins
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Homework Statement
Find the inverse Laplace transform of the given functions:
3. [tex]\frac{2}{s^2+3s-4}[/tex]
7. [tex]\frac{2s+1}{s^2-2s+2}[/tex]
Homework Equations
Inverse Laplace Transform Table
The Attempt at a Solution
on 3. i made the denominator look like [tex](s+4)(s-1)[/tex] but i got lost from there. i couldn't find anything on the table resembling the equation.
on 7. i completed the square and got [tex]\frac{2s+1}{(s-1)^2+1}[/tex], which resembles [tex]\frac{s-a}{(s-a)^2+b^2}[/tex] on the table, yet i can't seem to make the numerator look like [tex](s-a)[/tex].
if it helps anyone, the answers are 3. [tex]\frac{2}{5}e^t-\frac{2}{5}e^{-4}[/tex] and 7. [tex]2e^{t}cos(t)+3e^{t}sin(t)[/tex].
thanks in advance.edit: p.s. if anyone has a better table of inverse laplace transformations, the one i posted is really hard to read. I'm using the one in my book but it might be useful, if you need to refer to one in a table when trying to help, to refer to a table you're more comfortable reading.