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Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): (i) `x^2+y^2=a^2` (ii) `x^2-y^2=a^2`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find the differential equation of all the parabolas with latus rectum ...

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

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

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

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

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

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

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  8. Represent the following families of curves by forming the correspon...

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  9. Form the differential equation representing the family of ellipses ...

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  10. Form the differential equation of the family of hyperbolas having f...

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  11. Form the differential equation of the family of circles in the seco...

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  12. Show that x y=a x^x+b e^(-x)=x^2 is a solution of the differential equ...

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  13. Verify that the function y=C1e^(a x)cosb x+C2e^(ax)sinb x ,\ C1, C2,\ ...

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  14. Show that y=b e^x+c e^(2x)\ is a solution of the differential equatio...

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  15. Verify that y=4sin3x is a solution of the differential equation (d^2y)...

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  16. Show that y=a e^(2x)+b e^(-x) is a solution of the differential equati...

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  17. Show that the function y=A cos x+b sinx is as solution of the differe...

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  18. Show that the function y=A cos\ 2x-B sin\ 2x\ is a solution of the di...

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  19. Show that\ y=A e^(B x) is as solution of the differential equation (d^...

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  20. Verity that y=a/x+b is a solution of the differential equation (d^2y)/...

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