What is inverse oflaplace 1/(s-4) ?

The answer to inverse oflaplace 1/(s-4) is e^{4t}

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inverse oflaplace 1/(s-4)

inverse laplace

\frac{1}{s - 4}

e^{4 t}

Solution steps

L^{- 1} {\frac{1}{s - 4}}

Use Inverse Laplace Transform table:

L^{- 1} {\frac{1}{s - a}} = e^{a t}

L^{- 1} {\frac{1}{s - 4}} = e^{4 t}

= e^{4 t}

\int \frac{( 7 - 4 x ^{3} + 6 x ^{6} )}{x ^{6}} d x

\frac{d}{d x} (x^{5} (2 x - 1)^{7})

\frac{d}{d x} (\frac{x + 7}{x ^{3} + x - 6})

x \to 1 lim (- x^{2} + 1)

x \cdot \frac{d y}{d x} + 7 y = \frac{1}{x}

What is inverse oflaplace 1/(s-4) ?
The answer to inverse oflaplace 1/(s-4) is e^{4t}