if-L-f-t-L-g-t-then-why-f-t-g-t-is-there-any-proof-

Question Number 79705 by SmNayon11 last updated on 27/Jan/20

$$\mathrm{if}\:\mathscr{L}\left\{\mathrm{f}\left(\mathrm{t}\right)\right\}=\mathscr{L}\left\{\mathrm{g}\left(\mathrm{t}\right)\right\} \\ $$$$\mathrm{then}\:\mathrm{why}\:\mathrm{f}\left(\mathrm{t}\right)=\mathrm{g}\left(\mathrm{t}\right)? \\ $$$$\mathrm{is}\:\mathrm{there}\:\mathrm{any}\:\mathrm{proof} \\ $$

Commented by MJS last updated on 27/Jan/20

$$\mathrm{what}\:\mathrm{is}\:\mathscr{L}\left\{\mathrm{f}\left(\mathrm{x}\right)\right\}? \\ $$

Commented by SmNayon11 last updated on 27/Jan/20

$$\mathrm{laplace}\:\mathrm{transform}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{t}\right) \\ $$

Commented by MJS last updated on 27/Jan/20

search for Lerch's Uniqueness Theorem

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