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Show that the differential equation that...

Show that the differential equation that represents the family of all parabolas having their axis of symmetry coincident with the axis of `x is y y_2+y1 2=0.`

A

`yy_(2)+y_(1)^(2)-y+y_(1)`

B

`yy_(2)+y_(1)^(2)=0`

C

`yy_(2)+y_(1)^(2)=y_(1)`

D

None of these

Text Solution

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The correct Answer is:
B
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