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y^{\prime\prime}-2y^{\prime}+y=2sin(t)

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

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−1x−1 −2x−4 =12x−2

Solution

x=167

Decimal

x=2.28571…

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Solution steps

One step at a time

−1x−1 −2x−4 =12x−2

Multiply by LCM

−6x+12=x−4

Move 12 to the right side

−6x=x−16

Move x to the left side

−7x=−16

Divide both sides by −7

x=167

Verify Solutions

Find undefined (singularity) points: x=1, x=4

Combine undefined points with solutions:

x=167

Non Homogenous Ordinary Differential Equations (ODE) Examples

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

y^{\prime\prime}-2y^{\prime}+y=2sin(t)

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