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(\partial)/(\partial x)(19x^7+3x^2-16y^7-13x^9y^{17})

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

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(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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y^{′ ′}+7y^′−30y=0

Solution

y=c₁e^3t+c₂e^−10t

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Ряд Тейлора

Ряд Тейлора функции f(x) в точке a оределен как:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Примените Формулу Тейлора

=0+ddx (2sin⁵(x))(0)1! x+d²dx² (2sin⁵(x))(0)2! x²+d³dx³ (2sin⁵(x))(0)3! x³+…

Оцените Производные

=0+01! x+02! x²+03! x³+04! x⁴+2405! x⁵+06! x⁶+−84007! x⁷+…

Уточнить

=2x⁵−53 x⁷+…

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

(\partial)/(\partial x)(19x^7+3x^2-16y^7-13x^9y^{17})

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