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Verify that the function y=e^(-3x) is a ...

Verify that the function `y=e^(-3x)` is a solution of the differential equation `(d^2y)/(dx^2)+(dy)/(dx)-6y=0`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Determine order and degree (if defined) of differential equations g...

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  2. Determine order and degree (if defined) of differential equations g...

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  3. Verify that the function y=e^(-3x) is a solution of the differential e...

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  4. Verify that the given functions (explicit or implicit) is a solutio...

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  5. Verify that the given functions (explicit or implicit) is a solution...

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  6. Verify that the given functions (explicit or implicit) is a solutio...

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  7. Verify that the given functions (explicit or implicit) is a solutio...

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  8. Verify that the given function (explicit or implicit) is a solution of...

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  9. Verify that the given functions (explicit or implicit) is a solutio...

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  10. Form the differential equation representing the family of curves y"...

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  11. Form the differential equation representing the family of curves y" ...

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  12. Form the differential equation representing the family of parabolas...

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  13. Form the differential equation of the family of circles having cent...

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  14. Form the differential equation of the family of parabolas having ve...

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

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

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

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  18. Verify thaty=c x+2c^2 is a solution of the differential equation 2((dy...

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  19. Show that y^2-x^2 - x y=a is a solution of the differential equation (...

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  20. Verify that y=A\ cos x+sinxsatisfies the differential equation cosx \ ...

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