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

Solve each of the following initial value problems: `(dy)/(dx)+(2x)/(x^2+1)y=1/((x^2+1)^2),y(0)=0` (ii) `(x^2+1)(dy)/(dx) -2x y=(x^4+2x^2+1)cosx ,y(0)=0`

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

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

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

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

Solve the following initial value problem: (dy)/(dx)=ysin2x ,\ y(0)=1

Solve the following initial value problem: (dy)/(dx)=ysin2x ,\ y(0)=1

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

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

Solve the following initial value problem: (dy)/(dx)=2e^x y^3,\ y(0)=1/2

Solve the following initial value problem: (dy)/(dx)=y \ tan2x ,\ y(0)=2

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve: (x+2y^3)dy=ydxdot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Solve the following differential equations: (2x-10 y^3)(dy)/(dx)+y=0

    Text Solution

    |

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

    Text Solution

    |

  6. Solve the following differential equations: (dy)/(dx)+ycosx=sinxcosx

    Text Solution

    |

  7. Solve the following differential equations: (x+tany)dy=sin2ydx

    Text Solution

    |

  8. Solve the following differential equations: (dy)/(dx)-y= xe^x

    Text Solution

    |

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

    Text Solution

    |

  10. The surface are of a balloon being inflated changes at a constant r...

    Text Solution

    |

  11. Solve the following differential equations: (dy)/(dx)+2y=x e^(4x)

    Text Solution

    |

  12. Suppose the growth of a population is proportional the umber presen...

    Text Solution

    |

  13. A population grows at the rate of 8% per year. How long does it tak...

    Text Solution

    |

  14. Verify that y=log(x+sqrt(x^2+a^2))^2 satisfies the differential equa...

    Text Solution

    |

  15. Verify that y=c e^(t a n-1x) is a solution of differential equatio...

    Text Solution

    |

  16. Show that the differential equation of which y=2(x^2-1)+c e^-(x^2) is ...

    Text Solution

    |

  17. Form the differential equation corresponding to y^2-2a y+x^2=a^2 by el...

    Text Solution

    |

  18. Show that y=A x+B/x ,x!=0 is a solution of the differential equation x...

    Text Solution

    |

  19. Form the differential equation having y=(sin^(-1) x)^2 +A cos^(-1) x +...

    Text Solution

    |

  20. Show that y=a e^(2x)+b e^(-x) is a solution of the differential equat...

    Text Solution

    |