Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation `((dy)/(dx))^2-x(dy)/(dx)+y=0` is (a) `( b ) (c) y=2( d )` (e) (b) `( f ) (g) y=2x (h)` (i) (c) `( d ) (e) y=2x-4( f )` (g) (d) `( h ) (i) y=2( j ) x^(( k )2( l ))( m )-4( n )` (o)

A

`y=2`

B

`4y =x^2`

C

`y= 2x -4`

D

`y= 2x ^2 -4`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise LEVEL -2|39 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|11 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

Similar Questions

Explore conceptually related problems

The general solution of the differential equation y(x^(2)y+e^(x))dx-(e^x)dy=0 , is

Verify that y=c x+2c^2 is a solution of the differential equation 2((dy)/(dx))^2+x(dy)/(dx)-y=0.

Verify that y=c x+2c^2 is a solution of the differential equation 2((dy)/(dx))^2+x(dy)/(dx)-y=0.

The solution of the differential equation (e^(x^2)+e^(y^2))y(dy)/(dx)+e^(x^2)(x y^2-x)=0i s

The solution of the differential equation (e^(x^2)+e^(y^2))y(dy)/(dx)+e^(x^2)(x y^2-x)=0i s

The general solution of the differential equation (y dx-x dy)/y=0 is(A) x y = C (B) x=C y^2 (C) y = C x (D) y=C x^2

Verity that y=a/x+b is a solution of the differential equation (d^2y)/(dx^2)+2/x((dy)/(dx))=0.

Show that y=e^(2x) is a solution of differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^2-2x^3y^3) is (a) ( b ) (c) (d)(( e ) (f) y^(( g )2( h ))( i ))/( j ) x (k) (l)-( m ) x^(( n )3( o ))( p ) (q) y^(( r )2( s ))( t )=c (u) (v) (w) ( x ) (y) (z)(( a a ) (bb) x^(( c c )2( d d ))( e e ))/( f f )(( g g ) (hh) y^(( i i )2( j j ))( k k ))( l l ) (mm)+( n n ) x^(( o o )3( p p ))( q q ) (rr) y^(( s s )3( t t ))( u u )=c (vv) (ww) (xx) ( y y ) (zz) (aaa)(( b b b ) (ccc) x^(( d d d )2( e e e ))( f f f ))/( g g g ) y (hhh) (iii)+( j j j ) x^(( k k k )3( l l l ))( m m m ) (nnn) y^(( o o o )2( p p p ))( q q q )=c (rrr) (sss) (d) ( t t t ) (uuu) (vvv)(( w w w ) (xxx) x^(( y y y )2( z z z ))( a a a a ))/( b b b b )(( c c c c )3y)( d d d d ) (eeee)-2( f f f f ) x^(( g g g g )3( h h h h ))( i i i i ) (jjjj) y^(( k k k k )2( l l l l ))( m m m m )=c (nnnn) (oooo)

The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/d)^2+(x^3y^3)/(3!)((dy)/(dx))^3+ i s (a) ( b ) (c) y=1n(( d ) x (e))+c (f) (g) (b) ( h ) (i) (j) y^(( k )2( l ))( m )=( n ) (o)(( p ) (q)1nx (r))^(( s )2( t ))( u )+c (v) (w) (c) ( d ) (e) y=logx+x y (f) (g) (d) ( h ) (i) x y=( j ) x^(( k ) y (l))( m )+c (n) (o)

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE ADVANCE (ARCHIVE )
  1. The solution of the differential equation ((dy)/(dx))^2-x(dy)/(dx)+y=0...

    Text Solution

    |

  2. The differential equation (dy)/(dx) = (sqrt(1- y ^(2)))/(y) determinea...

    Text Solution

    |

  3. The differential equation representing the family of curves y^2=2c(...

    Text Solution

    |

  4. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

    Text Solution

    |

  5. Prove that for x in [0, (pi)/(2)], sin x + 2x ge (3x(x + 1))/(pi).

    Text Solution

    |

  6. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

    Text Solution

    |

  7. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  8. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  9. Let f(x) = (1 - x)^2 sin^2 x + x^2 for all x ∈ R, and let g(x) = ∫((2...

    Text Solution

    |

  10. Consider the statements : P : There exists some x IR such that f(x)...

    Text Solution

    |

  11. The function y=f(x) is the solution of the differential equation (d...

    Text Solution

    |

  12. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-cons...

    Text Solution

    |

  13. Let the f (x) be differentiabe function on the interval (0,oo) such ...

    Text Solution

    |

  14. Integrating factor of sec^2y dy/dx+x tany=x^3

    Text Solution

    |

  15. Let u(x) and v(x) be two continous functions satisfying the different...

    Text Solution

    |

  16. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  17. A curve passes through the point (1,pi/6) . Let the slope of the curve...

    Text Solution

    |

  18. Tangent is drawn at any point P of a curve which passes through (1, 1...

    Text Solution

    |

  19. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  20. If length of tangent at any point on the curve y=f(x). Intercepted bet...

    Text Solution

    |

  21. A right circular cone with radius R and height H contains a liquid whi...

    Text Solution

    |