Find: L^(-1){frac(3)(p(p+3))}

Rui Baldwin

Rui Baldwin

Answered question

2021-09-08

Find: L1{3p(p+3)}

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-09-09Added 98 answers

Step 1
L1{3p(p+3)}
Partial decomposition
3p(p+3)=Ap+Bp+3
3=A(p+3)+B(p)
For p=0
3=3AA=1
for P=3
3=3BB=1
3p(p+3)=1p1p+3
by linear property
L1{3p(p+3)}=L1{1p}L1{1p+3}
=e0te3t
=1e3t
Result
The inverse laplace transformation is
1e3t

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