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The differential equation which represen...

The differential equation which represents the family of curves `y=c_1e^(c_2x)`, where `c_1 and c_2` are arbitrary constants is

A

`yy''=y'`

B

`yy''=y'^2`

C

`y''=y^2`

D

`y''=y'y`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-DIFFERENTIAL EQUATIONS -Questions from Previous Years. AIEEE/JEE Main Papers
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  14. The genral solution if the differnetial equation sin2x((dy)/(dx)-sqrt(...

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  15. If (dy)/(dx)+ytanx=sin2x and y(0)=1", then "y(pi) is equal to

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  16. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

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  18. If y(x) is the solution of the differential equation (x+2)(dy)/(dx)=x^...

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  19. For x inRR,x!=0 if y(x) is a differential function such that x int1^xy...

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