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Show that the differntial equation that...

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`.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
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  2. The differential equation of all parabolas having their axes of symmet...

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

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

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

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

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

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

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

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

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

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

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

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