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The solution of the differential equatio...

The solution of the differential equation `xdx+ydy+(xdy-ydx)/(x^(2)+y^(2))=0`, is

A

`y= x tan (( c + x^2 + y^2)/(2))`

B

` x= y tan (( x + x^2 + y^2)/( 2))`

C

` y= x tan (( c-x ^2 - y^2) /(2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-LEVEL -2
  1. IF x ( dy )/(dx) + y=x . ( f ( x . y) )/( f'(x.y)) then f ( x ...

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  2. Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin x^3dx=F(k)-F...

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  3. The solution of the differential equation xdx+ydy+(xdy-ydx)/(x^(2)+y^(...

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  4. The solution of dy/dx = (x^2+y^2+1)/(2xy) satisfying y(1)=0 is given b...

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  5. IF x cos ( y //x ) ( ydx + xdy)=y sin ( y // x) ( xdy - ydx ...

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  6. If f(x) and g(x) are two solutions of the differential equation a (d^(...

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  7. The solution of the differential equation (dy)/(dx) = e^(x-y) (e^(x...

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  8. Solve (dx )/(dy) +x/y= sin y

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  9. Solve: y^(4)dx+2xy^(3)dy=(ydx-xdy)/(x^(3)y^(3))

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  10. A normal is drawn at a point P(x , y) of a curve. It meets the x-axis ...

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  11. If inta^x ty(t)dt=x^2+y(x), then find y(x)

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  12. The solution of differential equation x y^(prime)=x((y^2)/(x^2)+(f((y^...

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  13. Solution of the differential equation (y+xsqrt(x y)(x+y))dx+(ysqrt(x y...

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  14. A function y=f(x) satisfies (x+1)f^(')(x)-2(x^(2)+x)f(x) = e^(x^(2))/(...

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  15. The solution of the differential equation ( dy ) /( dx) +y/x = c...

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  16. The solution of the differential equation 2x ^(2)y (dy)/(dx) = tan ( x...

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  17. The solution of differential equation (2y+xy^(3))+(x+x^(2)y^(2))=0 i...

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  18. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is (a) ( b ) (c...

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  19. The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and ...

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  20. The solution of the differential equation {1+xsqrt(x^(2)+y^(2))}dx +...

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