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Find the solution of `y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0` is

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`(ye^9-x//y)dx-(xe^(-x//y)+y^(3))dy=0`
or `(ydx-xdy)e^(-x//y)=ydy`
or `2e^(-x//y)+y^(2)=C`
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CENGAGE-DIFFERENTIAL EQUATIONS-Exercise (Single)
  1. Solution of the differential equation {1/x-(y^2)/((x-y)^2)}dx+{(x^2)/(...

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  2. The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is (...

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  3. Find the solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is

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  4. Find the curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x))...

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  5. Find the solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(...

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  6. The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^...

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

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  8. The solution of differential equation (y(2x^4+y)dy)/(dx)=(1-4x y^2)x^2...

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  9. The solution of the differential equation (xcoty+logcosx)dy+(logsiny-y...

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  10. If =(e^y-x)^(-1), where y(0)=0 , then y is expressed explicitly as ...

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  11. The general solution of the differential equation, y^(prime)+yvarphi^(...

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  12. The integrating factor of the differential equation (dy)/(dx)(x(log)x)...

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  13. The solution of the differential equation x(x^2+1)((dy)/(dx))=y(1-x^2)...

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  14. Integrating factor of the differential equation cosx(dy)/(dx)+ysinx=1 ...

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  15. Solution of the equation cos^2x(dy/dx)-(tan2x)y=cos^4x, when y(pi/6)=(...

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  16. If integrating factor of x(1-x^2)dy+(2x^2y-y-a x^3)dx=0 is e^(intp dx...

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

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  18. The general solution of the equation (dy)/(dx)=1+x y is (a) ( b ) (...

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  19. The solution of the differential equation (x+2y^3)(dy)/(dx)=y is

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  20. The solution of the differential equation x^2(dy)/(dx)cos(1/x)-ysin(1/...

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