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Verify that the given functions (expl...

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: `y=sqrt(a^2-x^2)x in (-x , a)` : `x+y(dy)/(dx)=0(y!=0)`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Verify that the given functions (explicit or implicit) is a solutio...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Find the differential equation corresponding to y=a e^(2x)+b e^(-3x)+c...

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  16. The differential equation of all parabolas whose axis are parallel ...

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  17. From x^2+y^2+2a x+2b y+c=0, derive a differential equation not contain...

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  18. Solve: (dy)/(dx)=sin^3x \ cos^4x+x\ sqrt(x+1)

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  19. Solve the differential equation: (dy)/(dx)=y^2+2y+2

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  20. Solve the following differential equation: (dy)/(dx)=x^2e^x

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