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The solution of the differential equatio...

The solution of the differential equation `xsqrt(1-y^(2)) dx+y sqrt(1-x^(2)) dy = 0`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  7. A curve passes through the point (2a,a) and at any point the sum of ca...

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  8. If 2f(x) = f^(')(x) and f(0) = 3, then f(2) =

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  11. A solution of dy/dx = (x+y)/x is

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  12. Solution of dy/dx = y/(x+y) is

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  13. Solution of dy/dx = (x+Y)/(x-y) is

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  15. In a bank, principle p increases continuously at the rate of 5% per ye...

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  17. The degree of the differential equation ((d^(2)y)/dx^(2))^(3) + ((dy)/...

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  18. The order of the differential equation 2x^(2) (d^(2)y)/dx^(2) - 3 dy/d...

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