What is laplacetransform 3t^2+25 ?

The answer to laplacetransform 3t^2+25 is 6/(s^3)+(25)/s

Popular >

laplacetransform 3t^2+25

laplace transform

3 t^{2} + 25

\frac{6}{s ^{3}} + \frac{25}{s}

Solution steps

L {3 t^{2} + 25}

Use the linearity property of Laplace Transform:

For functions

f (t), g (t)

and constants

a, b : L {a \cdot f (t) + b \cdot g (t)} = a \cdot L {f (t)} + b \cdot L {g (t)}

= 3 L {t^{2}} + L {25}

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

L {25} : \frac{25}{s}

= 3 \cdot \frac{2}{s ^{3}} + \frac{25}{s}

Refine

3 \frac{2}{s ^{3}} + \frac{25}{s} : \frac{6}{s ^{3}} + \frac{25}{s}

= \frac{6}{s ^{3}} + \frac{25}{s}

x \to - 4 - lim (\frac{1}{x ^{2} - 16})

\frac{\partial}{\partial x} (1 + x^{2} + y^{2})

\frac{d}{d x} (e^{- \frac{x}{t}})

\int \frac{1}{x ( x + 1 ) ^{2}} d x

e^{\frac{( - x ^{2} )}{4}}

What is laplacetransform 3t^2+25 ?
The answer to laplacetransform 3t^2+25 is 6/(s^3)+(25)/s