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Find the paricular solution of the equat...

Find the paricular solution of the equation `ydy/dxsinx=cosx(sinx-y^2/2)` if `y=1` when `x=pi/2`

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A DAS GUPTA-Differential Equation of the First Order-Exercise
  1. The solution of (x d d+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) i...

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  2. Solution of the differential equation y cos\ y/x (x dy-y dx)+xsin\ y/x...

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  3. Find the paricular solution of the equation ydy/dxsinx=cosx(sinx-y^2/2...

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  4. Solve (dy/dx)^2-(e^x+e^-x)dy/dx+1=0

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  5. Solve (dy/dx)^2+2xdy/dx=3x^2

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  6. Solve xy{(dy/dx)^2-1}=(x^2-y^2)dy/dx

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  7. Solve x{(dy/dx)^2+dy/dx}=y

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  8. Solve y=2px+y^2p^3 where p=dy/dx

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  9. Obtain all the solutions of (y+1)(dy/dx)+2=x(dy/dx)^2

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  10. solve the differential equationx(d^2y)/dx^2+dy/dx=0.

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  11. Reduce the differential equation (d^2y)/dx^2-2 dy/dx+y=xe^x using the ...

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  12. A radioactive substance is subject to the law of natural decay (dv)/(d...

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  13. A country has a food deficit of 10%. Its population grows continuously...

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  14. Show that the equation of the curve passing through the point (1,0) an...

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  15. Prove that the equation of a curve whose slope at (x,y) is -(x+y)/x an...

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  16. Find the equation of the curve such that the square of the intercept c...

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  17. Find the curves for which the length of normal is equal to the radius ...

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  18. Find the cartesian equation of the curves for which the length of the ...

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  19. Find the equation of the curve for which the length of the normal is c...

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  20. Find the equation of the curve which is such that the area of the rect...

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