Mathematics: ) dy 2x = dx yx2 + y

) dy 2x = dx yx2 + y - id2213885008, ashleyd2473

user434568

02.08.2021

Step-by-step explanation:

$\dfrac{dy}{dx} = \dfrac{2x}{y(x^2 + 1)}$

Rearranging the terms, we get

$ydy = \dfrac{2xdx}{x^2 + 1}$

We then integrate the expression above to get

$\displaystyle \int ydy = \int \dfrac{2xdx}{x^2 + 1}$

$\displaystyle \frac{1}{2}y^2 = \ln |x^2 +1| + k$

$y = \sqrt{2\ln |x^2 + 1|} + k$

where I is the constant of integration.

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Karlakins

06.11.2020

idk

Step-by-step explanation:

The volume of a triangular prism can be found by multiplying the base times the height.

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