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Solution of x^(2)+y^(2) dy/dx = 4 is...

Solution of `x^(2)+y^(2) dy/dx = 4` is

A

`x^(2) + y^(2) = 12x + c`

B

`x^(2) + y^(2) = 3x + c`

C

`x^(3) + y^(3) = 3x + c`

D

`x^(3) + y^(3) = 12x + c`

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The correct Answer is:
D
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HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
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  2. If c is a parameter, then the differential equation whose solution is ...

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  3. Solution of x^(2)+y^(2) dy/dx = 4 is

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  4. The family of curves in which the subtangent at any point to any curve...

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

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  6. The solution of dy/dx = (y/x)^(1/3) is

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  7. Order of the differential equation of the family of all concentric cir...

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  8. Solution of dy/dx = (x log x^(2) + x)/(sin y + y cos y) is

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  9. dx + dy = (x+y) (dx-dy) implies log (x+y) =

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  10. The equation of a curve passing through the origin and satisfying the...

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  11. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

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  12. The differential equation y(dy)/(dx)+x=c represents

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  13. The general solution of ydx-xdy-3x^(2)y^(2)e^(x^(3)) dx =0 is

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  14. tan^(-1)x+tan^(-1)y = c is the general solution of the differential eq...

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  15. The differential equation of the family of lines passing through the o...

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

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  17. The solution of the equation (2y-1) dx- (2x+3)dy =0 is

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  18. The solution of the differential equation cosx siny dx + sin x cos y d...

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  19. Find the general solution of the differential equation (dy)/(dx) = (1 ...

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  20. The differential equation of the family of curves y^(2) = 4a(x+a) is

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