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Questions  

 The differential equation dxdy=3y2x represents a family of  hyperbolas (except when it represents a pair of lines) with  eccentricity 

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By Expert Faculty of Sri Chaitanya
a
85
b
53
c
25
d
52

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detailed solution

Correct option is B

dxdy=3y2x⇒        ∫2xdx    =∫3ydy⇒        x2    =3y22+cor     x23−y22=c3 If c is positive, then e=1+23=53If c is negative, then e=1+32=52

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Similar Questions

 Let function y=f(x) satisfies the differential equation x2dydx=y2e1x(x0) and limx0f(x)=1 . Identity the correct statements? 

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