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3 years ago

Can someone help me ?

Mathematics

2 answers:

prisoha [69]3 years ago

7 0

I’m pretty sure there are infinite solutions as the system of equations are equivalent to each other.

AURORKA [14]3 years ago

3 0

Answer: there are infinte solutions because it a coincident

Step-by-step explanation: please givebrainliest

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Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.

Mama L [17]

Multiplying both sides by $y^2$ gives

$xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1$

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Now multiply both sides by $3x^2$ to get

$x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2$

so that the left side condenses into the derivative of a product.

$\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2$

Integrate both sides, then solve for $v$ , then for $y$ :

$x^3v=\displaystyle\int3x^2\,\mathrm dx$

$x^3v=x^3+C$

$v=1+\dfrac C{x^3}$

$y^3=1+\dfrac C{x^3}$

$\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}$

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Hunter-Best [27]

Answer:

Step-by-step explanation:

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