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}

laplacetransform

\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}

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