separable y^{\prime}=(xy^3)/(sqrt(1+x^2)),y(0)=-1

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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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prove tan²(x)−sin²(x)=tan²(x)sin²(x)

Solution

True

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Solution steps

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tan²(x)−sin²(x)=tan²(x)sin²(x)

Manipulating right side

tan²(x)sin²(x)

Rewrite using trig identities

=tan²(x)(1−cos²(x))

Expand (1−cos²(x))tan²(x): tan²(x)−tan²(x)cos²(x)

=tan²(x)−cos²(x)tan²(x)

Rewrite using trig identities

=tan²(x)−sin²(x)

We showed that the two sides could take the same form

⇒ True

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

separable y^{\prime}=(xy^3)/(sqrt(1+x^2)),y(0)=-1

Solution

Solution steps

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