Home
Class 12
MATHS
Solve each of the following initial valu...

Solve each of the following initial value problem: `x(x^2+3y^2)dx+y(y^2+3x^2)dy=0,\ y(1)=1`

Text Solution

Verified by Experts

The correct Answer is:
`x^(4)+6x^(2)y^(2)+y^(4)=8`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise COMPETITION FILE|17 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Exercise|4 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

Solve each of the following initial value problem: (x^(2)+y^(2))dx=2xydy,y(1)=0

Solve each of the following initial value problem: (xy-y^(2))dx-x^(2)dy=0,y(1)=1

Solve each of the following initial value problems: (x^(2)-2y^(2))dx+2xydy=0,y(1)=1

Solve each of the following initial value problems: (x^(2)+y^(2))dx+xydy=0,y(1)=1

Solve each of the following initial value problem: 2xy+y^(2)-2xy^(2)(dy)/(dx)=0,y(1)=2

Solve each of the following initial value problem: (x-sin y)dy+(tan y)dx=0,y(0)=0

Solve each of the following initial value problem: (y^(4)-2x^(3)y)dx+(x^(4)-2xy^(3))dy=0,y(1)=1

Solve each of the following initial value problem: x(dy)/(dx)-y=log x,y(1)=0

Solve each of the following initial value problem: 2x^(2)(dy)/(dx)-2xy+y^(2)=0,y(e)=e

Solve each of the following initial value problems: (xe^(y/x)+y)dx=xdy,y(1)=1

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Revision Exercise
  1. The slope of the tangent at a point P(x, y) on a curve is (- (y+3)/(x+...

    Text Solution

    |

  2. Find the equation of the curve passing through the point (0,pi/4) w...

    Text Solution

    |

  3. Find the equation of a curve passing through the point (1, 1), given t...

    Text Solution

    |

  4. The decay rate of radium at any time t is proportional to its mass ...

    Text Solution

    |

  5. Solve : (dy)/(dx)= (2x+3y-4)^(2).

    Text Solution

    |

  6. Solve: (dy)/(dx)+y=e^x

    Text Solution

    |

  7. Solve the following differential equation: (x^2-1)(dy)/(dx)+2(x+2)y=2\...

    Text Solution

    |

  8. Solve: (dy)/(dx) = (y ( x + 2y))/(x ( 2x + y)) ,y(1) = 2

    Text Solution

    |

  9. Solve each of the following initial value problem: (y^4-2x^3y)dx+(x^4-...

    Text Solution

    |

  10. Solve each of the following initial value problem: x(x^2+3y^2)dx+y(y^2...

    Text Solution

    |

  11. Solve each of the following initial value problems: (dy)/(dx)+(2x)/...

    Text Solution

    |

  12. If ye^(y) dx = (y^(3) + 2xe^(y))dy, y(0) = 1, then the value of x when...

    Text Solution

    |

  13. Find the particular solution of the differential equation (1+e^(2x))dy...

    Text Solution

    |

  14. Find the particular solution of the differential equation. (dy)/(dx...

    Text Solution

    |

  15. Find the particular solutions of : (1+xy)y dx + (1-xy)x dy = 0, y(1)...

    Text Solution

    |

  16. The rate of increase in the number of bacteria in a certain bacteri...

    Text Solution

    |

  17. The population of a city increases at a rate proportional to the numbe...

    Text Solution

    |

  18. Assume that the rate at which radioactive nuclei decay is proportioanl...

    Text Solution

    |

  19. If the interest is compounded continuously at 6% per annum, how muc...

    Text Solution

    |

  20. A thermometer reading 80^0F is taken outside. Five minutes later the ...

    Text Solution

    |