Home
Class 12
MATHS
Find the equation of the curve passing ...

Find the equation of the curve passing through the point (1, 1) whose differential equation is `x dy =(2x^2+1)dx(x!=0)`.

Text Solution

Verified by Experts

The correct Answer is:
`y=x^(2)+log|x|`.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (e) Short Answer Type Questions|5 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (f) Short Answer Type Questions|14 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (c) Long Answer Type Questions (I)|26 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the curve passing through the point (1,1) whose differential equation is xdy=(2x^(2)+1)dx(x!=0)

Find the equation of the curve passing through the point (1,1) whose differential equation is :xdy=(2x^(2)+1)dx

Find the equation of the curve passing through the point (1, -1) whose differential equation is xy(dy)/(dx)=(x+2)(y+2)

Find the equation of a curve passing through the point (0,0) and whose differential equation is y'=ex sin x

Find the equation of the curve passing through (1,2) whose differential equation is y(x+y^3)dx=x(y^3-x)dy

Find the equation of the curve passing through origin and satisfying the differential equation 2xdy = (2x^(2) + x) dx .

Show that the equation of the curve passing through the point (1,0) and satisfying the differential equation (1+y^2)dx-xydy=0 is x^2-y^2=1

Show that the equation of the curve passing through the point (1,0) and satisfying the differential equation (1+y^2)dx-xydy=0 is x^2-y^2=1

The equation of the curve passing through the point (1,1) and satisfying the differential equation (dy)/(dx) = (x+2y-3)/(y-2x+1) is

What is the equation of a curve passing through (0, 1) and whose differential equation is given by dy = y tan x dx ?

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (d) Short Answer Type Questions
  1. Find the general solution of the following : (x+2)(dy)/(dx)=x^(2)+4...

    Text Solution

    |

  2. Write the general solution of the following differential equations (...

    Text Solution

    |

  3. Find the general solution of the following : sqrt(1-x^(6))dy=x^(2)d...

    Text Solution

    |

  4. Find the general solution of the following : (4+5 sin x)(dy)/(dx)= ...

    Text Solution

    |

  5. Find the general solution of the following : (dy)/(dx)=cos^(3)x sin...

    Text Solution

    |

  6. Find the general solution of the following : (dy)/(dx)= (1)/(sin^(4...

    Text Solution

    |

  7. Find the general solution of the differential equation (dy)/(dx) =si...

    Text Solution

    |

  8. Find the general solution of the following : (1+cos x)(dy)/(dx)= (1...

    Text Solution

    |

  9. Find the general solution of the following : (1+cos x) dy= (1- cos ...

    Text Solution

    |

  10. Find the general solution of the following : (dy)/(dx)= log x.

    Text Solution

    |

  11. Solve the following differential equation: (dy)/(dx)-xsin^2x=1/(xlogx)

    Text Solution

    |

  12. Find the general solution of the following : (dy)/(dx)+3x= e^(-2x).

    Text Solution

    |

  13. dy / dx = sin^3x cos^2x + x e^x

    Text Solution

    |

  14. Solve : (dy)/(dx)= (1)/(1+x^(2)), y(0)=3.

    Text Solution

    |

  15. (x^3+x^2+x+1)(dy)/(dx)=2x^2+x ; y=1w h e nx=0

    Text Solution

    |

  16. cos((dy)/(dx))=a\ (a in RR); y=1 when\ x=0

    Text Solution

    |

  17. sin((dy)/(dx))=a, when x=0, y=1

    Text Solution

    |

  18. Find the particular solution of cos((dy)/(dx))=a, given that y=2 when ...

    Text Solution

    |

  19. Find the particular solution of e^(dy/dx)=x+1, given that when x=0,y=3...

    Text Solution

    |

  20. Find the equation of the curve passing through the point (1, 1) whose...

    Text Solution

    |