Home
Class 12
MATHS
Find the particular solution of the foll...

Find the particular solution of the following differential equation: `(dy)/(dx)=1+x^2+y^2+x^2y^2,` given that `y=1\ ` when `x=0.`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Find the particular solution of the differential equation :x(x^(2)-1)(dy)/(dx)=1;y=0; when x=2

Particular solution of the differential equation xy(dy)/(dx)=x^(2)+2y^(2),y(1)=0, is

Find the particular solution of the differential equation x(x^(2)-a)(dy)/(dx)=1;quad y=0 when x=2

Find the particular solution of eh differential equation (dy)/(dx)=(xy)/(x^(2)+y^(2)) given that y=1 when x=0.

Find the particular solution of the differential equation (dy)/(dx)=(y(2y-x))/(x(2y+x)) ,given that y=1 when x=1 .

Find the particular solution of the differential equation : (1+x^(2))(dy)/(dx)=e^(m tan^(-1)x)-y , given that y=1 when x=0 .

Find the particular solution of the differential equation (1 - x ^(2) ) (dy)/(dx) - xy = x ^(2) , given that y = 2 when x = 0 .

Find the particular solution of the differential equation xy(dy)/(dx) =(x+2) (y+2), it being given that y = -1 when x = 1.

Find the particular solution of the differential equation (dy)/(dx)=-4xy^(2) given that y=1, when x=0

Find the particular solution of the differential equation (dy)/(dx) = 1+x+y+xy, given that y = 0 when x = 1.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If ā,b,c are three vectors such that |veca |= 5, |vecb| = 12 and | ...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the particular solution of the following differential equation...

    Text Solution

    |

  4. Let * be a binary operation of N given by a a*b=L C M\ (a , b) for all...

    Text Solution

    |

  5. Evaluate: int(2x)/((x^2+1)(x^2+3))\ dx

    Text Solution

    |

  6. Evaluate: int(5x+3)/(sqrt(x^2+4x+10))\ dx

    Text Solution

    |

  7. Find the Vector and Cartesian equations of the line passing through...

    Text Solution

    |

  8. Evaluate : int((x-4)e^x)/((x-2)^3)\ dx

    Text Solution

    |

  9. Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x...

    Text Solution

    |

  10. Find the equation of the normal at the point (a m^2, a m^3) for the ...

    Text Solution

    |

  11. Evaluate : int(e^x)/(sqrt(5-4e^x-\ e^(2x)))\ dx

    Text Solution

    |

  12. Find the relationship between a and b so that the function f define...

    Text Solution

    |

  13. If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)

    Text Solution

    |

  14. Obtain the inverse of the following matrix, using elementary operation...

    Text Solution

    |

  15. Using matrices, solve the following system of equations: x+y+z=6; x...

    Text Solution

    |

  16. Find the value of p , if (2 hat i+6 hat j+27 hat k) x ( hat i+3 hat j+...

    Text Solution

    |

  17. Write the direction cosines of a line equally inclined to be three ...

    Text Solution

    |

  18. Let* be a binary operation on N given by a*b = HCF(a ,\ b)\ a ,\ b\...

    Text Solution

    |

  19. Find the value of x, If [[3x+y,-y],[2y-x,3]]=[[1,2],[-5,3]]

    Text Solution

    |

  20. Write the value of the following determinant |(a-b,b-c,c-a),(b-c,c-a,a...

    Text Solution

    |