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

Solutions > Homogenous Ordinary Differential Equations (ODE) Calculator >

series solution 16y^{\prime \prime}-8y^{\prime}+y=0,y(0)=40

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

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

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

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parity 2ln(x)

Solution

ليست زوجيّة ولا فرديّة

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Solution steps

One step at a time

تعريف زوجيّة/فرديّة دالّة

x∈ℝ لكلّ f(−x)=f(x) دالّة زوجيّة: دالّة معرّفة كزوجيّة إدا تحقّق أنّ
x∈ℝ لكل f(−x)=−f(x) دالّة فرديّة: دالّة معرّفة كفرديّة إذا تحقّق أنّ

f(−x): 2ln(−x)

−f(x): −2ln(x)

Check parity of 2ln(x)

Check if Even: خطأ

Check if Odd: خطأ

ليست زوجيّة ولا فرديّة

Solve instead

domain 2ln(x)

inverse 2ln(x)

Homogenous Ordinary Differential Equations (ODE) Examples

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