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

The solution of the differential equation `((x+2y^3)dy)/(dx)=y` is

A

`x=y ^2 ( c + y^2)`

B

`x=y (c-y^2)`

C

`x=3y(c-y)^2`

D

`x=y ( c + y^2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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 solution of the differential equation sin(x+y)dy =dx is

The solution of the differential equation x^3(dy)/(dx)=y^3+y^2sqrt(y^2-x^2) is :

The solution of the differential equation x(x^2+1)((dy)/(dx))=y(1-x^2)+x^3logx is

The solution of the differential equation (x+y)(dx-dy)=dx+dy is

Solve the differential equation: (x+3y^2)(dy)/(dx)=y

The solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

The general solution of the differential equation (dy)/(dx)=x^2/y^2 is

The solution of the differential equation (dy)/(dx)=(x-y)/(x-3y) is (where, c is an arbitrary constant)

The solution of the differential equation (x^2y^2-1)dy+2xy^3dx=0 is

The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/dx)^2+(x^3y^3)/(3!)((dy)/(dx))^3+... i s

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE ADVANCE (ARCHIVE )
  1. The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

    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

    |