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

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Statement I The order of differential equation of all conics whose centre lies at origin is , 2. Statement II The order of differential equation is same as number of arbitary unknowns in the given curve.

Find the differential equation of all ellipse whose centres are at the origin and principal axes along coordinate axes.

An ellipse passes through the point (4,-1) and touches the line x+4y-10=0 . Find its equation if its axes coincide with the coordinate axes.

Find the equation of an ellipse whose axes lie along the coordinate axes, which passes through the point (-3,1) and has eccentricity equal to sqrt(2//5)dot

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

Find the equation of the ellipse whose axes are parallel to the coordinate axes having its centre at the point (2,-3) one focus at (3,-3) and vertex at (4,-3)dot

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Show that the differntial equation that represents all parabolas each...

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Solve the following differential equations (dy)/( dx) = x^5 + x^2 - ...

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  19. Solve the following differential equations (dy)/( dx) = x^2 + sin 3...

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  20. Solve the following differential equations: (dy)/(dx)+y=1

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