拉普拉斯变换计算器

计算器将尝试找到给定函数的拉普拉斯变换。

回想一下,函数的拉普拉斯变换是 $$$F(s)=L(f(t))=\int_0^{\infty} e^{-st}f(t)dt$$$

通常,要找到函数的拉普拉斯变换,可以使用部分分数分解(如果需要),然后查阅拉普拉斯变换表

Enter the function `f(t)` :

For Inverse Laplace Transform, see Inverse Laplace Transform calculator.

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Your input: find $$$\mathcal{L}\left(e^{2 t} \sin{\left(5 t \right)}\right)$$$

Answer

$$$\mathcal{L}\left(e^{2 t} \sin{\left(5 t \right)}\right)=\frac{5}{\left(s - 2\right)^{2} + 25}$$$