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The differential equation of the family ...

The differential equation of the family of curves,` y^2 = 4a ( x + b) , a b in R ,` has order and degree respectively equal to :

A

`1,2`

B

`2,1`

C

`2,2,`

D

`1,1`

Text Solution

Verified by Experts

The correct Answer is:
B
`2"yy." =4a implies y/(2y.)=x+bimplies2(y.)^2-2"yy"..=4(y.)^2`
Required D.E. is `(y.)^(2)+"yy"..=0`
Hence order is 2 & degree is 1
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