What is laplacetransform 3e^{4t} ?

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

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laplacetransform 3e^{4t}

laplace transform

3 e^{4 t}

\frac{3}{s - 4}

Solution steps

L {3 e^{4 t}}

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)}

= 3 L {e^{4 t}}

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

= 3 \cdot \frac{1}{s - 4}

Refine

3 \frac{1}{s - 4} : \frac{3}{s - 4}

= \frac{3}{s - 4}

4 y^{^{''}} - 4 y^{^{'}} - 3 y = cos (2 x)

\frac{d}{d a} (tan (a) + cot (a))

8 y^{^{''}} + 31 y = 0

\frac{d y}{d x} = \frac{( 2 x + x y ^{2} )}{4 y + y x ^{2}}

\frac{d y}{d x} = \frac{6 + 3 y}{x}

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