Home
Class 12
MATHS
Solution of, (dy)/(dx)+sin[(x+y)/2]=sin[...

Solution of, `(dy)/(dx)+sin[(x+y)/2]=sin[(x-y)/2]` is: (A) `ln|tany/2|+2sin(x/2)=c` (B) `ln|tan(y/4)|+2sin(x/2)=c` (C) `ln|tany/2|-2sin(x/2)=c` (D) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

(dy)/(dx)tany=sin(x+y)+sin(x-y)

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

The general solution of the differential equation (dy)/(dx)+sin((x+y)/2)=sin((x-y)/2) is

The general solution of the differential equation (dy)/(dx)+sin((x+y)/2)=sin((x-y)/2) is

Find (dy)/(dx) , when y = e^(-x^(2)) sin (log x)

The solution of dy/dx+(xy^2-x^2y^3)/(x^2y+2x^3y^2)=0 , is (A) log(y^2/x)-1/(xy)=C (B) log(x/y)+y^2/x=C (C) log(x^2y)+y^2/x=C (D) none of these

If (dy)/(dx)-y log_(e) 2 = 2^(sin x)(cos x -1) log_(e) 2 , then y =

Find y(x) , if it satisfies the following differential equation (dy)/(dx)=(x-y)^2 , and given that y(1)=1 (A) -ln|(1-x+y)/(1+x-y)|=2(x-1) (B) ln|(2-y)/(2-x)=x+y-1 (C) ln|(1-x+y)/(1+x-y)|=2(x-1) (D) 1/2ln|(1-x+y)/(1+x-y)|+ln|x|=0

int(sin5x)/(cos7xcos2x)dx is equal to (A) log|sec7x|+c (B) log|sec7xsec2x|+c (C) log|sec7x+sec2x|+c (D) none of these

The value of sqrt(2)int(sin"x"dx)/(sin(x-pi/4)) is: (1) x+log|cos(x-pi/4)|+c (2) x-log|sin(x-pi/4)|+c (3) x+log|sin(x-pi/4)|+c (4) x-log|cos(x-pi/4)|+c

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Find the total number of ways of selecting five letters from the word ...

    Text Solution

    |

  2. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

    Text Solution

    |

  3. Solution of, (dy)/(dx)+sin[(x+y)/2]=sin[(x-y)/2] is: (A) ln|tany/2|+2s...

    Text Solution

    |

  4. Given a > b >0,a1> b1>0, area of ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is ...

    Text Solution

    |

  5. The number of real roots xcosx=1 in [0,2pi] (A) 1 (B) 2 (C) 3 (D) non...

    Text Solution

    |

  6. Two persons A and B agree to meet at a place between 11 and 12. The fi...

    Text Solution

    |

  7. Two medians AD and BE of A B C are of length 4sqrt(2) & 6 and angle A...

    Text Solution

    |

  8. The number of values of x where the function f(x)=cos x +cos (sqrt(2)x...

    Text Solution

    |

  9. In [0, 1] the Lagrange's Mean Value Theorem is not applicable to: (a) ...

    Text Solution

    |

  10. If vec a= hat i+ hat j+ hat ka n d vec b= hat i-2 hat j+ hat k , then...

    Text Solution

    |

  11. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

    Text Solution

    |

  12. Find the value of log tan1^0logtan2^0...........logtan89^0

    Text Solution

    |

  13. If |(x, x^2, x^3 +1), (y, y^2, y^3+1), (z, z^2, z^3+1)| = 0 and x ,y a...

    Text Solution

    |

  14. If z lies on the circle |z-1|=1, then (z-2)/z is

    Text Solution

    |

  15. Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a d...

    Text Solution

    |

  16. The point of intersection of two tangents to the hyperbola (x^(2))/(a^...

    Text Solution

    |

  17. prove that int1/(x(x^4+1))dx=1/4log(x^4/(x^4+1))+c

    Text Solution

    |

  18. If (lim)(xvec0)[cot(pi/4+x)]^(1//x)=A e^2 then the value of A is: e^2 ...

    Text Solution

    |

  19. A man is known to speak truth 3 out of 4 times. He throws a die and re...

    Text Solution

    |

  20. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

    Text Solution

    |