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Find the differential equation of all the parabolas with latus rectum `4a` and whose axes are parallel to x-axis.

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The differential equation of all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3 (c) of order 2 and degree 1 (d) of order 2 and degree 2

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
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  12. Form the differential equation of the family of hyperbolas having f...

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  13. Form the differential equation of the family of circles in the seco...

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

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  15. Verify that the function y=C1e^(a x)cosb x+C2e^(ax)sinb x ,\ C1, C2,\ ...

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  16. Show that y=b e^x+c e^(2x)\ is a solution of the differential equatio...

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  17. Verify that y=4sin3x is a solution of the differential equation (d^2y)...

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

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  19. Show that the function y=A cos x+b sinx is as solution of the differe...

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  20. Show that the function y=A cos\ 2x-B sin\ 2x\ is a solution of the di...

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