Home
Class 12
MATHS
Solve the initial value problem: x(xdy+y...

Solve the initial value problem: `x(xdy+ydx)=ydx ,y(1)=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 initial value problem: (xdy+ydx)=xy dx ,y(1)=1.

Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

Solve the initial value problem: x\ (dy)/(dx)-y+xsin(y/x)=0,\ y(2)=pi

Solve the initial value problem: (x+1)(dy)/(dx)=2e^(-y)-1,\ y(0)=0

Solve the initial value problem: x(dy)/(dx)+y=xcosx+sinx ,\ y\ (pi/2)=1

Solve the initial value problem: y-x(dy)/(dx)=2(1+x^2(dy)/(dx)),\ y(1)=1

Solve the following initial value problem: 2x(dy)/(dx)=5y ,\ y(1)=1

Solve the following initial value problem: 2x(dy)/(dx)=3y ,\ y(1)=2

Solve the following initial value problem: x y(dy)/(dx)=(x+2)(y+2),\ y(1)=-1

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. if a,b are two positive numbers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b...

    Text Solution

    |

  2. Solve the initial value problem: dy=e^(2x+y)dx ,y(0)=0.

    Text Solution

    |

  3. Solve the initial value problem: x(xdy+ydx)=ydx ,y(1)=1.

    Text Solution

    |

  4. Solve: (dy)/(dx)=ysin2x it being given that y(0)=1.

    Text Solution

    |

  5. Solve the initial value problem: (xdy+ydx)=xy dx ,y(1)=1.

    Text Solution

    |

  6. Find the equation of the curve passing through origin if the slope ...

    Text Solution

    |

  7. Find the equation of the curve passing through the point (1,0) if t...

    Text Solution

    |

  8. Find the equation of the curve passing through the point (-2,3) giv...

    Text Solution

    |

  9. Find the equation of the curve passing through the point (1,1) whos...

    Text Solution

    |

  10. Solve the following differential equation : xcosy\ dy=(x e^xlogx+e^x)...

    Text Solution

    |

  11. Solve the following differential equations: xcos^2y \ dx=ycos^2x \ dy

    Text Solution

    |

  12. Experiments show that the rate of inversion of cane sugar in dilute so...

    Text Solution

    |

  13. In a culture, the bacteria count is 1,00,000. The number is increas...

    Text Solution

    |

  14. A bank pays interest by continuous compounding, that is ,by treatin...

    Text Solution

    |

  15. Experiments show that radius disintegrates at a rate proportional to t...

    Text Solution

    |

  16. The equation of the curve passing through the point (1,pi/4) and havin...

    Text Solution

    |

  17. Find the equation to the curve satisfying x(x+1)(dy)/(dx)-y=x(x+1) and...

    Text Solution

    |

  18. The curve is such that the length of the perpendicular from the ori...

    Text Solution

    |

  19. The normal to a given curve at each point (x ,y) on the curve passes t...

    Text Solution

    |

  20. Radium decomposes at a rate proportional to the quantity of radium ...

    Text Solution

    |