A general form of a solution for laplace inverse of $frac{f^2(s)}{f^3(s)}$?
$begingroup$
Is there any general form of inverse Laplace transform for a function like
$$F(s)=frac{f^2(s)}{f^3(s)}=frac{a_2 s^2 + a_1 s+a_0}{b_3 s^3+b_2 s^2 + b_1 s+b_0}$$
when $f^3(s)$ cannot be simply factorize?
Otherwise, what would be the procedure to find the inverse of such an expression? If I have numeric coefficients I can solve it, but I am trying with symbolic expressions.
laplace-transform laplace-method inverselaplace
asked Nov 27 '18 at 19:25
PojjPojj
74
$endgroup$
add a comment |
$begingroup$
Is there any general form of inverse Laplace transform for a function like
$$F(s)=frac{f^2(s)}{f^3(s)}=frac{a_2 s^2 + a_1 s+a_0}{b_3 s^3+b_2 s^2 + b_1 s+b_0}$$
when $f^3(s)$ cannot be simply factorize?
Otherwise, what would be the procedure to find the inverse of such an expression? If I have numeric coefficients I can solve it, but I am trying with symbolic expressions.
laplace-transform laplace-method inverselaplace
asked Nov 27 '18 at 19:25
PojjPojj
74
$endgroup$
add a comment |
$begingroup$
Is there any general form of inverse Laplace transform for a function like
$$F(s)=frac{f^2(s)}{f^3(s)}=frac{a_2 s^2 + a_1 s+a_0}{b_3 s^3+b_2 s^2 + b_1 s+b_0}$$
when $f^3(s)$ cannot be simply factorize?
Otherwise, what would be the procedure to find the inverse of such an expression? If I have numeric coefficients I can solve it, but I am trying with symbolic expressions.
laplace-transform laplace-method inverselaplace
asked Nov 27 '18 at 19:25
PojjPojj
74
$endgroup$
Is there any general form of inverse Laplace transform for a function like
$$F(s)=frac{f^2(s)}{f^3(s)}=frac{a_2 s^2 + a_1 s+a_0}{b_3 s^3+b_2 s^2 + b_1 s+b_0}$$
when $f^3(s)$ cannot be simply factorize?
Otherwise, what would be the procedure to find the inverse of such an expression? If I have numeric coefficients I can solve it, but I am trying with symbolic expressions.
laplace-transform laplace-method inverselaplace
laplace-transform laplace-method inverselaplace
asked Nov 27 '18 at 19:25
PojjPojj
74
asked Nov 27 '18 at 19:25
PojjPojj
74
asked Nov 27 '18 at 19:25
PojjPojj
74
asked Nov 27 '18 at 19:25
PojjPojj
74
asked Nov 27 '18 at 19:25
PojjPojj
74
74
add a comment |
add a comment |
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