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What is the solution of the differential...

What is the solution of the differential equation
` (dy)/(dx) + sqrt((1-y^(2))/(1-x^(2))) = 0 ? `

A

`xsqrt(1-y^2)-ysqrt(1-x^2)=c `

B

`xsqrt(1-y^2)+ysqrt(1-x^2)=c `

C

`xsqrt(1+y^2)+ysqrt(1+x^2)=c `

D

None of these

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
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  4. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

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  5. The solution of (dy)/(dx) = 1+ y + y^(2) + x+ xy + xy^(2) is

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  9. Particular solution of differential equation e^("dy"/"dx") =x:y (1) = ...

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  10. The solution of log.(dy)/(dx)=x when y=1 and x=0 is :

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  11. Find the particular solution of the differential equation log(dy)/(...

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  12. If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2) is equal to

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  13. If "dy"/"dx"=1-y and y(0)=3, then y(loge 8) is equal to

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  14. The particular solution of the differential equation y(1+log x...

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  15. Solution of the differential equation sin((dy)/(dx))=a with y(0)=1 is

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  19. At any point on a curve , the slope of the tangent is equal to the sum...

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