series solution y^{\prime \prime}+6y^{\prime}+13y=0,y(0)=0

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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

simplify solve for inverse tangent line

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y^{′ ′}+6y^′+13y=0, y(0)=0

Solution

y=c₂e^−3tsin(2t)

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y′ ′ +6y′ +13y=0

Solve linear ODE: y=c₂e^−3tsin(2t)

y=c₂e^−3tsin(2t)

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

series solution y^{\prime \prime}+6y^{\prime}+13y=0,y(0)=0

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