Home
Class 12
MATHS
If the solution curve y=y(x) of the diff...

If the solution curve `y=y(x)` of the differential equation `(1+y^(2))(1+log_(e)x)dx+x dy=0,x>0` passes through the point `(1,1)` and `y(e)=(alpha-tan((3)/(2)))/(beta+tan((3)/(2)))` ,then `alpha+2 beta` is)___________________

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

The solution curve of the differential equation, (1+e^(-x))(1+y^(2))(dy)/(dx)=y^(2) , which passes through the point (0,1), is:

The solution of the differential equation (1+y^(2)) tan^(-1) x dx + y(1+x^(2)) dy = 0 is

The solution of the differential equation (1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x) is :

A solution curve of the differential equation (x^(2)+xy+4x+2y+4)((dy)/(dx))-y^(2)=0 passes through the point (1,3) Then the solution curve is

The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y dx=0 is

If the solution curve of the differential equation (2x-10y^(3))dy+ydx =0 , passes through the points (0, 1) and (2, beta) , then beta is a root of the equation :

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let vec a,vec b and vec c be three non-zero vectors such that vec b an...

    Text Solution

    |

  2. The area (in sq.units) of the part of the circle x^(2)+y^(2)=169 which...

    Text Solution

    |

  3. If the solution curve y=y(x) of the differential equation (1+y^(2))(1+...

    Text Solution

    |

  4. If (""^(11)C(1))/(2)+(""^(11)C(2))/(3)+...+("^(11)C(9))/(10)=(n)/(m) w...

    Text Solution

    |

  5. Equations of two diameters of a circle are 2x-3y=5 and 3x-4y=7 .The li...

    Text Solution

    |

  6. Let f(x)=2^(x)-x^(2),x in R .If "m" and "n" are respectively the numbe...

    Text Solution

    |

  7. If the points of intersection of two distinct conics x^(2)+y^(2)=4b" a...

    Text Solution

    |

  8. All the letters of the word "GTWENTY" are written in all possible ways...

    Text Solution

    |

  9. A line with direction ratios "2,1,2" meets the lines x=y+2=z and x+2=2...

    Text Solution

    |

  10. If the mean and variance of the data 65,68,58,44,48,45,60,alpha,beta,6...

    Text Solution

    |

  11. Let alpha,beta be the roots of the equation x^(2)-x+2=0 with Im(alpha)...

    Text Solution

    |

  12. The value of lim(n rarr oo)sum(k=1)^(n)(n^(3))/((n^(2)+k^(2))(n^(2)+3k...

    Text Solution

    |

  13. Let g:R rarr R be a non constant twice differentiable function such th...

    Text Solution

    |

  14. If the circles (x+1)^(2)+(y+2)^(2)=r^(2) and x^(2)+y^(2)-4x-4y+4=0 int...

    Text Solution

    |

  15. vec a = a1 hat i + a2 hat j + a3 hat k |a| = 1 , &, vec a. vec b = 2...

    Text Solution

    |

  16. If Sn denotes sum of first n terms of an A.P. such that, S(20) = 790, ...

    Text Solution

    |

  17. f(x)=|[2cos^(4)x,2sin^(4)x,3+sin^(2)2x],[3+2cos^(4)x,2sin^(4)x,sin^(2)...

    Text Solution

    |

  18. If z = x + iy, xy ne 0 satisfy the equation z^2 + i overline z = 0, th...

    Text Solution

    |

  19. Let "M" denote the median of the following frequency distribution The...

    Text Solution

    |

  20. Let y=y(x) be the solution of the differential equation sec xdy+{2(1-x...

    Text Solution

    |