拉普拉斯 y^{\prime\prime}−6y^{\prime}+15y=2sin(3t),y(0)=−1,y^{\prime}(0)=−4

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

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simplify solve for inverse tangent line

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laplace transform y^{′ ′}−6y^′+15y=2sin(3t), y(0)=−1, y^′(0)=−4

Solution

y=110 cos(3t)+130 sin(3t)−1110 e^3tcos(√6t)−2√2e^3tsin(√6t)5√3

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y′ ′ −6y′ +15y=2sin(3t)

Solve using Laplace transform: y=110 cos(3t)+130 sin(3t)−1110 e^3tcos(√6t)−2√2e^3tsin(√6t)5√3

y=110 cos(3t)+130 sin(3t)−1110 e^3tcos(√6t)−2√2e^3tsin(√6t)5√3

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

拉普拉斯 y^{\prime\prime}−6y^{\prime}+15y=2sin(3t),y(0)=−1,y^{\prime}(0)=−4

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