Mathematics: Solve the differential equation dy/dx=2*y/x,x 0 simplify?

Solve the differential equation dy/dx=2*y/x,x 0

Ответ:

Thomas7785

13.01.2022

Separate your variables:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2y}x\implies \dfrac{\mathrm dy}y=2\dfrac{\mathrm dx}x$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dy}y=2\int\frac{\mathrm dx}x\implies \ln|y|=2\ln|x|+C\implies y=e^{2\ln|x|+C}=Cx^2$

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Ответ:

bunnyqueen124

03.01.2022

Mathematics

In mathematics, a product is a number or a quantity obtained by multiplying two or more numbers together. For example: 4 × 7 = 28 Here, the number 28 is called the product of 4 and 7. The product of 6 and 4 will be 24,Because 6 times 4 is 24.hope it helps in someway ig idk

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Solve the differential equation dy/dx=2*y/x,x> 0 simplify?

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