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Find the differential equation satisfied...

Find the differential equation satisfied by the family of parabolas `y^2=4ax` , where `a ne 0` is an arbitrary constant.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Form the differential equation of the system of concentric circles giv...

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  2. Form the differential equation satisfied by the relation y=mx+c where ...

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  3. Find the differential equation satisfied by the family of parabolas y...

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  4. Find the differential eqution of the family of curves y=Ae^(2x)+Be^(-2...

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  5. Find the differential equation of all non-vertical lines in a plane.

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  6. Find the general solution of the differential equation (dy)/(dx)=y/x

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  7. Find the solution of (dy)/(dx)=2^(y-x)

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  8. Solve the differential equation (dy)/(dx)=2x+1

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  9. Solve the differential equation xdy+ydx=0.

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  10. Solve the differential equation xdx+ydy=0,

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  11. Find the differential equation of the family of lines through the orig...

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  12. Given that (dy)/(dx)=ye^x and y=e when x=0. find y when x=1

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  13. Form the differential equation of all non-horizontal lines in a plane.

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  14. Given that (dy)/(dx)=e^(-2y) and y=0 when x=5. Find the value of x whe...

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  15. Solve the differential equation e^(3x)(dy)/(dx)=1.

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  16. Solve the differential equation (dy)/(dx)=0.

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  17. Solve the differential equation (dy)/(dx)=1 given that y=1 when x=0,

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  18. What is the degree of the differential equation ((dy)/(dx))^2-x(d^2y)/...

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  19. Write the order of the differential equation ((dy)/(dx))^3+((D^2y)/(dx...

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  20. Solve the differential eqution (dy)/(dx)=logx

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