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The differential equation of all parabol...

The differential equation of all parabolas having their axes of symmetry coincident with the axes of x, is

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Show that the differential equation that represents the family of all parabolas having their axis of symmetry coincident with the axis of x is y y_2+y1 2=0.

The differential equation of all parabolas whose axis of symmetry is along X-axis is of order.

Find the differential equation of all parabolas having their vertices at the origin and foci on x-axis.

The differential equation of all conics whose axes coincide with the coordinate axes, is

Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

Show that the differntial equation that represents all parabolas each of which has a latus rectum 4a and whose axes are parallel to x axis is 2ay_2+y_1^3=0 .

PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Form the differential equation of simple harmonic motion given by x=Ac...

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  2. A spherical rain drop evaporates at a rate proportioanl to its surface...

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  3. The differential equation of all parabolas having their axes of symmet...

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  4. Show that the differntial equation that represents all parabolas each...

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  5. Find the differntial equation of all circles which pass through the or...

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  6. The differential equation of all conics whose axes coincide with the c...

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  7. Form the differntial equation which is satisfied by sqrt(1-x^4)+sqrt(1...

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  8. Form the differntial equation which is satisfied by x ^p^y^q=lambda(x+...

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  9. The differential equation having y=(sin^(-1)x)^(2)+A(cos^(-1)x)+B, whe...

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  10. Verify that the given function is a solution of the differential equat...

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  11. Verify that the given function is a solution of the differential equat...

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  12. Verify that the given function is a solution of the differential equat...

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  13. Verify that the given function is a solution of the differential equat...

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  14. Verify that the given function is a solution of the differential equat...

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  15. Verify that the given function is a solution of the differential equat...

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  16. Verify that the given function is a solution of the differential equat...

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  17. Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d...

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  18. Prove that x^2 - y^2 = c (x^2 + y^2)^2 is the general solution of dif...

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  19. Show that function y=be^x+ce^(2x) is a solution of the differential eq...

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  20. Show that the diffential equation of which y=2(x^2-1)+Ce^(-x^2) is a s...

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