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The general solution of the differential equation `(dy)/(dx)+y\ g^(prime)(x)=g(x)g^(prime)(x)` , where `g(x)` is a given function of `x` , is a. `g(x)+log{1+y+g(x)}=C` b. `g(x)+log{1+y-g(x)}=C` c. `g(x)-log{1+y-g(x)}=C` d. None of these

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

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  2. The solution of the differential equation y1y3=y2^2 is

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  3. The general solution of the differential equation (dy)/(dx)+y\ g^(prim...

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  4. The solution of the differential equation (dy)/(dx)=1+x+y^2+x y^2,\ y(...

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  5. The differential equation of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=C is

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  6. Solution of the differential equation (dy)/(dx)+y/x=sinx is a. x(y+co...

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  7. The equation of the curve satisfying the differential equation y(x+y^3...

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  8. The solution of the differential equation 2x(dy)/(dx)-y=3 represents (...

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  9. The solution of the differential equation x(dy)/(dx)=y-xtan(y/x) , is

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  10. The differential equation which represents the family of curves y=e...

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  11. Which of the following transformations reduce the differential equatio...

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

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  13. If m\ a n d\ n are the order the degree of the differential equation (...

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  14. The solution of the differential equation (dy)/(dx)+1=e^(x+y), is a. (...

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  15. The solution of x^2+y^2(dy)/(dx)=4 is a. x^2+y^2=12 x+C b. x^2+y^2=3...

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  16. The family of curves in which the sub tangent at any point of a curve ...

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  17. The solution of the differential equation x\ dx+y\ dy=x^2y\ dy-y^2x\ d...

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  18. The solution of the differential equation (x^2+1)(dy)/(dx)+(y^2+1)=0 i...

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  19. The differential equation x(dy)/(dx)-y=x^2, has the general solution ...

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  20. The solution of the differential equation dy/dx-ky=0, y(0)=1, approach...

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