Laplace transforms and inverse transforms
General · Mathematics
Study notes
Q: Find L{t²} and L⁻¹{1/(s-3)}. L{tⁿ} = n!/sⁿ⁺¹: L{t²} = 2/s³! L⁻¹{1/(s-3)}: matches L{e^(at)}: = e^(3t)! Check: L{e^(3t)} = 1/(s-3) ✓! (Tables + partial fractions!)
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General · Mathematics
Q: Find L{t²} and L⁻¹{1/(s-3)}. L{tⁿ} = n!/sⁿ⁺¹: L{t²} = 2/s³! L⁻¹{1/(s-3)}: matches L{e^(at)}: = e^(3t)! Check: L{e^(3t)} = 1/(s-3) ✓! (Tables + partial fractions!)