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Series Solutions to Differential Equations Calculator

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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transformadora de laplace (x+1)cos(x)

Solution

−−s²+1(s²+1)² +ss²+1

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Solution steps

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L{cos(x)(x+1)}

Expandir (x+1)cos(x): xcos(x)+cos(x)

=L{xcos(x)+cos(x)}

Usar a propriedade de linearidade da transformada de Laplace:
Para as funções f(t), g(t) e constantes a, b: L{a·f(t)+b·g(t)}=a·L{f(t)}+b·L{g(t)}

=L{xcos(x)}+L{cos(x)}

L{xcos(x)}: −−s²+1(s²+1)²

L{cos(x)}: ss²+1

=−−s²+1(s²+1)² +ss²+1

Solve instead

inversa de laplace (x+1)cos(x)

Series Solutions to Differential Equations Examples

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

1	−2
0	2

Series Solutions to Differential Equations Calculator

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