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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

`y_(2) = 2y_(1) + x`

B

`y_(3) = 2y_(1)`

C

`y_(2)^(3) = y_(1)`

D

`y_(3) = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH INSTITUTE-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
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  2. The order of the differential equation of ellipse whose major and mino...

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

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  4. The solution of the equation 2xy' - y = 3 represents a family of

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  5. If (dp)/(dy) = 3^(cos y) sin y, then P is equal to

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  6. The solution of (dy)/(dx)-y=1, y(0)=1 is given by y(x)=

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  7. The general solution of the differential equaiton (1+y^(2))dx+(1+x^(2)...

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  8. The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(...

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  9. Solution of the differential equation sin x. cos y dy + cos x. sin y d...

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  10. Solution of differential equation (dy)/(dx) = (2)/(x+y) is

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  11. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a fa...

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  12. if y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)= ...

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  13. The slope of tangent at (x,y) to a curve passing through (2, 1) is (x...

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  14. The solution of the differential equation (dy)/(dx) = (y)/(x)+ (Q((...

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  15. The solution of differential equation x^(2)y^(2)dy = (1-xy^(3))dx is

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  16. The solution of differential equation (1+x^(2)) (dy)/(dx) + y = e^(...

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  17. The solution of the differential equation ydx+ (x +x^2 y) dy =0 is

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  18. The family whose x and y intercepts of a tangent at any point are resp...

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  19. The solution of the equation y' = cos (x-y) is

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  20. Solution of y dx - x dy = x^(2)ydx is

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