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Obtain the differential equation of all circles of radius `rdot`

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To obtain the differential equation of all circles of radius \( r \), we will follow these steps: ### Step 1: Write the general equation of a circle The general equation of a circle with center \( (a, b) \) and radius \( r \) is given by: \[ (x - a)^2 + (y - b)^2 = r^2 \] ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Show that the differential equation representing one parameter fami...

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  2. Represent the following family of curves by forming the correspondin...

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  3. Obtain the differential equation of all circles of radius rdot

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  4. Form the differential equation of the family of curves represented b...

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  5. Form the differential equation corresponding to y=e^(m x) by eliminati...

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  6. Form the differential equation from the following primitives where ...

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  7. Form the differential equation from the following primitives where c...

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  8. Form the differential equation from the following primitives where ...

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  9. Form the differential equation from the following primitives where ...

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  10. Find the differential equation of the family of curves y=A e^(2x)+B...

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  11. Find the differential equation of the family of curves, x=A\ cos n ...

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  12. Form the differential equation corresponding to y^2=a(b-x^2) by elimin...

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  13. Form the differential equation corresponding to (x-a)^2+(y-b)^2=r^2 by...

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  14. Find the differential equation of all the circles which pass throug...

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  15. Find the differential equation of all the circles which pass thorou...

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  16. Assume that a rain drop evaporates at a rate proportional to its su...

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  17. Find the differential equation of all the parabolas with latus rectum ...

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  18. Form the differential equation of the family of curves represented by ...

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  19. Represent the following families of curves by forming the correspond...

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  20. Represent the following families of curves by forming the correspondin...

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