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The differential equation of all parabol...

The differential equation of all parabolas whose axis are parallel to the y-axis is (a) `( b ) (c) (d)(( e ) (f) d^(( g )3( h ))( i ) y)/( j )(( k ) d (l) x^(( m )3( n ))( o ))( p ) (q)=0( r )` (s) (b) `( t ) (u) (v)(( w ) (x) d^(( y )2( z ))( a a ) x)/( b b )(( c c ) d (dd) y^(( e e )2( f f ))( g g ))( h h ) (ii)=C (jj)` (kk) (c) `( d ) (e) (f)(( g ) (h) d^(( i )3( j ))( k ) y)/( l )(( m ) d (n) x^(( o )3( p ))( q ))( r ) (s)+( t )(( u ) (v) d^(( w )2( x ))( y ) x)/( z )(( a a ) d (bb) y^(( c c )2( d d ))( e e ))( f f ) (gg)=0( h h )` (ii) (d) `( j j ) (kk) (ll)(( m m ) (nn) d^(( o o )2( p p ))( q q ) y)/( r r )(( s s ) d (tt) x^(( u u )2( v v ))( w w ))( x x ) (yy)+2( z z )(( a a a ) dy)/( b b b )(( c c c ) dx)( d d d ) (eee)=C (fff)` (ggg)

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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NIKITA PUBLICATION-Differential Equation-MULTIPLE CHOICE QUESTION
  1. The differential equation of all parabolas whose axis are parallel ...

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  2. Form the differential equation of the family of parabolas having ve...

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  3. The differential equation of all parabolas whose axis are parallel ...

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  4. The differential equation (d^(2)y)/(dx^(2))=2 represents which of the ...

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  5. The differential equation for all ellips whose major axis is twice its...

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  6. The equation of the ellips is (x^(2))/(36)+(y^(2))/(16)=k. The differe...

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  7. The differential equation satisfied by sqrt(1-x^(2))+sqrt(1-y^(2))=a(x...

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  8. Consider the equation (x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1, where a...

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  9. The differential equation for x^(3)+y^(3)=4ax is

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

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

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

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

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

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

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

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

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

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

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

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