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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Fractions Divide with Whole Number Calculator >

обратная (x+2)/(x-1)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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Steps Examples

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обратный Лаплас x²+x+1x

Solution

δ′(t)+δ(t)+H(t)

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Solution steps

One step at a time

L⁻¹{x²+x+1x }

Извлечь элементарную дробь из x²+x+1x : x+1+1x

=L⁻¹{x+1+1x }

Используйте свойство линейности обратного преобразования Лапласа
Для Функций f(s), g(s) и констант a, b: L⁻¹{a·f(s)+b·g(s)}=a·L⁻¹{f(s)}+b·L⁻¹{g(s)}

=L⁻¹{x}+L⁻¹{1}+L⁻¹{1x }

L⁻¹{x}: δ′ (t)

L⁻¹{1}: δ(t)

L⁻¹{1x }: H(t)

=δ′ (t)+δ(t)+H(t)

Fractions Divide with Whole Number Examples

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