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2 years ago

HELP subtract -4/5 - 2/3 A -22/15 B -3/4 C -2/5 D 8/15

Mathematics

1 answer:

myrzilka [38]2 years ago

5 0

Answer:

Step-by-step explanation:

-4/5×3/3=-12/15

2/3×5/5=10/15

-12/15-10/15= -22/15

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Answer:

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1/2 +b=1 3/4 <br><br> What does b represent and how to solve it?

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Answer:

Hope the graph below helps.

Step-by-step explanation:

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2 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

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Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

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$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

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2 years ago