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Popular >

laplacetransform (3t)/t

Solution

laplace transform

\frac{3 t}{t}

Solution

\frac{3}{s}

Solution steps

L {\frac{3 t}{t}}

Apply transform rule:

if

L {f (t)} = F (s)

then

L {\frac{f ( t )}{t}} = \int_{s}^{i n f} F (u) d u

For

\frac{3 t}{t} : f (t) = 3 t

= \int_{s}^{\infty} L {3 t} (u) d u

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

= \int_{s}^{\infty} \frac{3}{u ^{2}} d u

\int_{s}^{\infty} \frac{3}{u ^{2}} d u = \frac{3}{s}

= \frac{3}{s}

Popular Examples

derivative of 1/(2sqrt(x)+1/(5x^{4/5)})

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{5 x ^{\frac{4}{5}}})

(\partial)/(\partial x)(6xcos(x)sin(y))

\frac{\partial}{\partial x} (6 x cos (x) sin (y))

(\partial)/(\partial z)(4ln((3xy)/(7z)))

\frac{\partial}{\partial z} (4 ln (\frac{3 x y}{7 z}))

y^{''}+289y=sec(17x),y(0)=3,y^'(0)=3

y^{^{''}} + 289 y = sec (17 x), y (0) = 3, y^{^{'}} (0) = 3

tangent of y=e^{4x}cos(pix),(0,1)tangent of

y = e^{4 x} cos (π x), (0, 1)

Frequently Asked Questions (FAQ)

What is laplacetransform (3t)/t ?
The answer to laplacetransform (3t)/t is 3/s