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

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Text Solution

Verified by Experts

Wrong Question
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.3|12 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.4|23 Videos

  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.4|5 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x,y) is equal to the sum of the coordinates of the point.

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x,y)is(y-1)/(x^(2)+x)

Find the equation of the curve passing through (1, 1) and the slope of the tangent to curve at a point (x, y) is equal to the twice the sum of the abscissa and the ordinate.

Find the equation of the curve passing through origin if the slope of the tangent to the cuurve at any point (x,y) is equal to the square of the difference of the abscissa and ordinate of the point.

Find the equation of the curve passing through the point (-2,3) given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2))

Find the equation of a curve passing through the point quad (-2,3) ,given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2))

Find the equation of the curve passing through the point (0,0) and whose slope of the normal at a point (x, y) is equal to the sum of the ordinate and the product of the abscissa and ordinate of that point.

Determine the equation of the curve passing through the origin,the slope of the tangent of which at any point (x,y) is (x+1)/(y+1)

A curve passes through the point (3,-4) and the slope of.the is the tangent to the curve at any point (x,y) is (-(x)/(y)) .find the equation of the curve.

NCERT-DIFFERENTIAL EQUATIONS-SOLVED EXAMPLES
  1. Form the differential equation representing the family of ellipses ha...

    Text Solution

    |

  2. Form the differential equation of the family of circles touching the ...

    Text Solution

    |

  3. Form the differential equation representing the family of curves y = ...

    Text Solution

    |

  4. Form the differential equation representing the family of curves y = ...

    Text Solution

    |

  5. Verify that the function y=e^(-3x)is a solution of the differential eq...

    Text Solution

    |

  6. Verify that the functiony = a cos x + b sin x, where, a, b in Ris a ...

    Text Solution

    |

  7. Find the order and degree, if defined, of each of the following differ...

    Text Solution

    |

  8. Form the differential equation representing the family of parabolas h...

    Text Solution

    |

  9. Find the general solution of the differential equation (dy)/(dx)=(x+1...

    Text Solution

    |

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

    Text Solution

    |

  11. Verify that the function y=c1e^(a x)cosb x+c2e^(a x)sinb x, where c1...

    Text Solution

    |

  12. Form the differential equation of the family of circles in the second...

    Text Solution

    |

  13. Find the particular solution of the differential equation log ((dy)/(d...

    Text Solution

    |

  14. Solve the differential equation (x dy-y dx)ysin(y/x)=(y dx+x dy)xcos(...

    Text Solution

    |

  15. Find the general solution of the differential equation x(dy)/(dx)+2y=...

    Text Solution

    |

  16. Find the general solution of the differential equation y dx-(x+2y^2)d...

    Text Solution

    |

  17. Find the particular solution of the differential equation (dy)/(dx)+y...

    Text Solution

    |

  18. Find the equation of a curve passing through the point (0, 1). If the...

    Text Solution

    |

  19. Find the particular solution of the differential equation (dy)/(dx)=-...

    Text Solution

    |

  20. Find the general solution of the differential equation (dy)/(dx)=(1+y...

    Text Solution

    |