Home
Class 12
MATHS
Solve the differential equation ( x + y)...

Solve the differential equation `( x + y) dy + (x - y) dx = 0`; given that y = 1 when x = 1.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equation (2 + x) dy = (1 + y) dx

Solve the differential equation: (x+y)(dy)/(dx)=1

Solve the differential equation x (1 + y^2) dx - y (1 + x^2) dy = 0

Solve the differential equation (x^2-y)dy+(y^2+x^2y^2)dx=0, given that y=1, when x=1.

solve the differential equation (y + x)(dy)/(dx)=y-x

Solve the differential equation (x y^2+x)dx+(y x^2+y)dy=0

Solve the differential equation y^(2)(dx)/(dy) + x = 1 .

Solve the differential equation: y\ dx+(x-y^2)dy=0

Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 given that \ y=1\ when x=1

Solve the differential equation (1+x^2)(dy)/(dx)+(1+y^2)=0 , given that y=1, when x=0.

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. The slope of the tangent at (x , y) to a curve passing through a p...

    Text Solution

    |

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

    Text Solution

    |

  3. Solve the differential equation ( x + y) dy + (x - y) dx = 0; given th...

    Text Solution

    |

  4. Solve the following differential equations: (dy)/(dx)-1=e^(x-y)

    Text Solution

    |

  5. Solve: (x^3-3x y^2)dx=(y^3-3x^2y)dydot

    Text Solution

    |

  6. Solve: x^2 ydx=(x^ 3+y ^3)dy

    Text Solution

    |

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

    Text Solution

    |

  8. Solve the following differential equations: (dy)/(dx)=((x-y)+3)/(2(x-y...

    Text Solution

    |

  9. Solve the following differential equations: (x+y+1)(dy)/(dx)=1

    Text Solution

    |

  10. Solve the following differential equations: (x+y)(dx-dy)=dx+dy

    Text Solution

    |

  11. Solve x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0 given y(1)=pi/2

    Text Solution

    |

  12. Solve: x(dy)/(dx)=y-xtan(y/x)dot

    Text Solution

    |

  13. A thermometer reading 80^@F is taken outside. Five minutes later the t...

    Text Solution

    |

  14. The doctor took the temperature of a dead body at 11.30 Pm which was 9...

    Text Solution

    |

  15. If is given that radium decomposes at a rate proportional to the am...

    Text Solution

    |

  16. A radioactive substance disintegrates at as rate proportional to th...

    Text Solution

    |

  17. If is known that, if the interest is compounded continuously, the pr...

    Text Solution

    |

  18. It given that the rate at which some bacteria multiply is proportio...

    Text Solution

    |

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

    Text Solution

    |

  20. Water at temperature 100^@C cools in 10 minutes to 80^@C in a room of ...

    Text Solution

    |