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Form the differential equation represen...

Form the differential equation representing the family of ellipses having foci on x-axis and centre at the origin.

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According to the question general equation of ellipse is
`x^2/a^2+y^2/b^2 =1`
As the ellipse passes through (0,3)
`x^2/a^2 +y^2/9 = 1........(1)`
Now differentiate w.r.t x
...
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NCERT-DIFFERENTIAL EQUATIONS-SOLVED EXAMPLES
  1. Find the general solution of the differential equation (dy)/(dx)-y=co...

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  2. Show that the family of curves for which the slope of the tangent at ...

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  3. Form the differential equation representing the family of ellipses ha...

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  4. Form the differential equation of the family of circles touching the ...

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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 curves y = ...

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

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  8. Verify that the functiony = a cos x + b sin x, where, a, b in Ris a ...

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  9. Find the order and degree, if defined, of each of the following differ...

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  10. Form the differential equation representing the family of parabolas h...

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  11. Find the general solution of the differential equation (dy)/(dx)=(x+1...

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  12. Solve the differential equation (tan^(-1)y-x)dy=(1+y^2)dx.

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  13. Verify that the function y=c1e^(a x)cosb x+c2e^(a x)sinb x, where c1...

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  14. Form the differential equation of the family of circles in the second...

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  15. Find the particular solution of the differential equation log ((dy)/(d...

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  16. Solve the differential equation (x dy-y dx)ysin(y/x)=(y dx+x dy)xcos(...

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  17. Find the general solution of the differential equation x(dy)/(dx)+2y=...

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  18. Find the general solution of the differential equation y dx-(x+2y^2)d...

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  19. Find the particular solution of the differential equation (dy)/(dx)+y...

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  20. Find the equation of a curve passing through the point (0, 1). If the...

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