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Form of the differential equation of all...

Form of the differential equation of all family of lines `y=mx+(4)/(m)` by eliminating the arbitrary constant m is

A

`y(dy)/(dx)+x((dy)/(dx))^(2)+4=0 `

B

`y(dy)/(dx)-x((dy)/(dx))^(2)-4=0 `

C

`y(dy)/(dx)+x((dy)/(dx))^(2)-4=0 `

D

`y(dy)/(dx)-x((dy)/(dx))^(2)+4=0 `

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
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  2. The differential equation for x^(3)+y^(3)=4ax is

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  3. Form of the differential equation of all family of lines y=mx+(4)/(m) ...

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  4. The differential equation for y^(2)=(x+A)^(3) is

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  5. The differential equation of y = c^(2) + c/x is

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  6. The differential equation, which represents the family of plane curves...

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  7. The differential eqution for (x)/(a)+(y)/(b)=1 is

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  8. From the differential equation by eliminating A and B in Ax^(2)+By^(2...

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  9. The differential equation obtained by eliminating a and b from y = ae^...

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  10. The differential equation of the family of curves y= c(1)e^(x) +c(2)e...

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  11. The differential equation for y=Ae^(3x)+Be^(-3x) is

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  12. The differential equation for y=e^(x)(a+bx) is

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  13. The differential equation for y=ae^(x)+be^(-2x) is

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  14. The differential equation for y=Ae^(3x)+Be^(2x) is

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  15. If y=e^(ax)sinbx, then (d^(2)y)/(dx^(2))-2a(dy)/(dx)+a^(2)y=

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  16. The differential equation satistied by the family of curves y-axcos(1/...

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  17. The differential equation for y=a sin (5x+c) is

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  18. The differential equation for y=c(1)sinx+c(2)cosx is

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  19. Obtion the differential equation by elininating arbitrary constants A,...

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  20. The differential equation for y=e^(x)(acosx+bsinx) is

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