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2 years ago

- 1/5(y-x) please help on this !!!!

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

5 0

Answer:

X=1 and Y=5

Step-by-step explanation:

X Y-X/Y=5.....(1)

XY-Y/X=1/5....(2)

subtract(2) from 1 you have

Y/X-X/Y=5-1/5

Y/X-X/Y=5/1-1/5

so, by equating LHS and RHS

X=1 and Y=5

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3 years ago

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2 years ago

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2 years ago

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Sav [38]

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

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2 years ago