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Higher-order derivatives Calculator

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1

Example

$\frac{d^2}{dx^2}\left(y\right)+\left(x^2-2x+2\right)\cdot y\cdot\frac{}{}=0$
2

Simplifying the fraction by $$

$1y\left(2-2x+x^2\right)+\frac{d^2}{dx^2}\left(y\right)=0$
3

Any expression multiplied by $1$ is equal to itself

$y\left(2-2x+x^2\right)+\frac{d^2}{dx^2}\left(y\right)=0$
4

Rewriting the high order derivative

$y\left(2-2x+x^2\right)+\frac{d}{dx}\left(\frac{d}{dx}\left(y\right)\right)=0$
5

The derivative of the constant function is equal to zero

$y\left(2-2x+x^2\right)+0=0$
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$x+0=x$, where $x$ is any expression

$y\left(2-2x+x^2\right)=0$

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