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The solution of the differential equatio...

The solution of the differential equation `(dy)/(dx)=(a x+g)/(b y+f)` represents a circle when a. `a=b` b. `a=-b` c. `a=-2b` d. `a=2b`

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To determine the condition under which the solution of the differential equation \[ \frac{dy}{dx} = \frac{ax + g}{by + f} \] represents a circle, we will solve the differential equation step by step. ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. The equation of the curve whose slope is given by (dy)/(dx)=(2y)/x ; x...

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  2. The order of the differential equation whose general solution is given...

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  3. The solution of the differential equation (dy)/(dx)=(a x+g)/(b y+f) re...

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  4. Solution of the differential equation (dy)/(dx)+(2y)/(x)=0, where y(1)...

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  5. The solution of the differential equation (dy)/(dx)-(y(x+1))/x=0 is gi...

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  6. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

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  7. The solution of the differential equation y1y3=y2^2 is a. x=C1e^(C2 \ ...

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

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

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

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

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

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  13. The solution of the differential equation x(dy)/(dx)=y+xtany/x , is x ...

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

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

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

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

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

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

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

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