System of ODEs Calculator

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

☐²

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√☐

^□√☐

□□

log_□

θ

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∫

ddx

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

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Steps Examples

Generated by AI

x^′=(

−9	0	6
3	−3	0
−6	−3	0

)x

Solution

x=c₁e^−6t(

−2

)+c₂e^−3t(cos(3√2t)(

−1

)−sin(3√2t)(

−√2

))+c₃e^−3t(cos(3√2t)(

−√2

)+sin(3√2t)(

−1

))

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Solution steps

One step at a time

x′ =(

−9	0	6
3	−3	0
−6	−3	0

)x

Solve system of linear ODEs: x=c₁e^−6t(

−2

)+c₂e^−3t(cos(3√2t)(

−1

)−sin(3√2t)(

−√2

))+c₃e^−3t(cos(3√2t)(

−√2

)+sin(3√2t)(

−1

))

x=c₁e^−6t(

−2

)+c₂e^−3t(cos(3√2t)(

−1

)−sin(3√2t)(

−√2

))+c₃e^−3t(cos(3√2t)(

−√2

)+sin(3√2t)(

−1

))

System of ODEs Examples

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Notebook

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

12	−8
16	−4

System of ODEs Calculator

Solution

Solution steps

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