What is laplacetransform 4e^{((2t)/3)} ?

The answer to laplacetransform 4e^{((2t)/3)} is (12)/(3s-2)

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laplacetransform 4e^{((2t)/3)}

laplace transform

4 e^{(\frac{2 t}{3})}

\frac{12}{3 s - 2}

Solution steps

L {4 e^{(\frac{2 t}{3})}}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 4 L {e^{\frac{2}{3} t}}

L {e^{\frac{2}{3} t}} : \frac{3}{3 s - 2}

= 4 \cdot \frac{3}{3 s - 2}

Refine

4 \frac{3}{3 s - 2} : \frac{12}{3 s - 2}

= \frac{12}{3 s - 2}

\int \frac{1}{x ^{3} x ^{2} - 25} d x

d er i v a t i v e \frac{t}{2 t - 3}

\int x (x^{2}) d x

a re a f (x) = 16 - x^{2}, 0, 4

\int \frac{1}{x 64 x ^{2} - 5} d x

What is laplacetransform 4e^{((2t)/3)} ?
The answer to laplacetransform 4e^{((2t)/3)} is (12)/(3s-2)