en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

laplacetransform 4^t

Solution

laplace transform

4^{t}

Solution

\frac{1}{s - 2 ln ( 2 )}

Solution steps

L {4^{t}}

Rewrite

4^{t} : e^{l n (4) t}

= L {e^{l n (4) t}}

Use Laplace Transform table:

L {e^{a t}} = \frac{1}{s - a}

L {e^{l n (4) t}} = \frac{1}{s - ln ( 4 )}

= \frac{1}{s - ln ( 4 )}

= \frac{1}{s - 2 ln ( 2 )}

Popular Examples

implicit (dy)/(dx),y= 6/(\sqrt[3]{x^2+5)}

derivative of 4/(x+6)

tangent of f(x)=-4tan(x)-1,\at x=-pi/4

derivative of-9/x

tangent of f(x)=x^3-3x+1,(3,19)

Frequently Asked Questions (FAQ)

What is laplacetransform 4^t ?
The answer to laplacetransform 4^t is 1/(s-2ln(2))