implicit derivative of (dy)/(dx),2(x^2+y^2)^2=25(x^2-y^2)

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

implicit derivative tangent volume laplace fourier

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laplace transform xe^−x

Solution

1(s+1)²

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Solution steps

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L{e^−xx}

Use Laplace Transform table: L{t^kf(t)}=(−1)^kd^kds^k (L{f(t)})

For xe^−x: f(x)=e^−x, k=1

=(−1)¹dds (L{e^−x})

L{e^−x}: 1s+1

dds (1s+1 )=−1(s+1)²

=(−1)¹(−1(s+1)² )

=1(s+1)²

Solve instead

inverse laplace xe^−x

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