series solution 100y^{\prime \prime}+60y^{\prime}+9y=0,y(1)=8

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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

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100y^{′ ′}+60y^′+9y=0, y(1)=8

Solution

y=(8e³¹⁰−c₂)e^−3t10+c₂e^−3t10t

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100y′ ′ +60y′ +9y=0

Solve linear ODE: y=(8e³¹⁰−c₂)e^−3t10+c₂e^−3t10t

y=(8e³¹⁰−c₂)e^−3t10+c₂e^−3t10t

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

series solution 100y^{\prime \prime}+60y^{\prime}+9y=0,y(1)=8

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series solution 100y^{\prime \prime}+60y^{\prime}+9y=0,y(1)=8

Solution

Solution steps

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