Home
Class 12
MATHS
If a differential equation , dy/dx+(2^(x...

If a differential equation , `dy/dx+(2^(x-y)(2^y-1))/(2^x-1)=0 & y(1)=1` then the value of `y(2) is :

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)

Let y(x) is the solution of the differential equation (x+2)(dy)/(dx)-(x+1)y=2 . If y(0)=-1 , then the value of y(2) is equal to

Let y = y(x) be the solution of the differential equation e^(x)sqrt(1-y^(2))dx+((y)/(x))dy=0,y(1)=-1 . Then the value of (y(3))^(2) is equal to :

Solve the differential equation (dy)/(dx)+((1+y^(2))/(x))=0

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

Consider the differential equation y^(2)dx+(x-(1)/(y))dy=0 if y(1)=1 then x is

If K is constant such that xy + k = e ^(((x-1)^2)/(2)) satisfies the differential equation x . ( dy )/( dx) = (( x^2 - x-1) y+ (x-1) and y (1) =0 then find the value of K .

Solution of the differential equation (dy)/(dx)+(2y)/(x)=0 , where y(1)=1 , is

If y(x) is a solution of the differential equation ((2+sin x)/(1+y))(dy)/(dx)=-cos x and y(0)=1, then find the value of y((pi)/(2))

Solve the differential equation x^(2)(1-y)(dy)/(dx)+y^(2)(1+x)=0

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If x1 , x2 , x3 , x4 , x5 are numbers from 1 to 18 such that x1 lt x2 ...

    Text Solution

    |

  2. If lim(x to 7) (18-[1-x])/[[x-3a]] exists, where [.] represents greate...

    Text Solution

    |

  3. If a differential equation , dy/dx+(2^(x-y)(2^y-1))/(2^x-1)=0 & y(1)=1...

    Text Solution

    |

  4. If an ellipse x^2/a^2+y^2/b^2=1 passes through (-4sqrt(3/5),3) & its e...

    Text Solution

    |

  5. A(6,1) is the vertex of triangle ABC , BC : 2x+y-4=0 & C moves on x+3y...

    Text Solution

    |

  6. int ((x^2+1)e^x)/(x+1)^2=f(x)e^x. Find (d^3f)/(dx^3) at x=1

    Text Solution

    |

  7. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

    Text Solution

    |

  8. e^(2x)-11 e^x-45/e^x+81/2=0 , if the sum of roots is lnP then find the...

    Text Solution

    |

  9. In total of 16 cubes , 11 are red and 5 are blue , then number of arra...

    Text Solution

    |

  10. A rectangle is inscribed in a circle with diameter 2x+4=y and two vert...

    Text Solution

    |

  11. Let the direction ratio's of two lines are roots of the equation l+m-n...

    Text Solution

    |

  12. If the coefficient of x^10 in the expansion of (x^(1/2)/5^(1/4) +5^(1/...

    Text Solution

    |

  13. Which of the follwoing is logically equivalent to ~(p wedge q) vv q

    Text Solution

    |

  14. The value of cot(sum(n=1)^50 tan^-1((1)/(1+n+n^2))) is equal to

    Text Solution

    |

  15. If S=2+6/7+12/7^2+20/7^3+. . . then find 4S

    Text Solution

    |

  16. The number of complex number z satisfying abs(z-(4+3i))=2 and absz +ab...

    Text Solution

    |

  17. Which of the following is a tautology ?

    Text Solution

    |

  18. Let A be a 2 xx 2 matrix , whose entries are taken from the set {0,1,2...

    Text Solution

    |

  19. alpha = sin 36^@ is root of which of the following equation

    Text Solution

    |

  20. Mean and Variance of 4 , 5 , 6 , 6 , 7 , 8 , x , y is 6 and 9/4 then f...

    Text Solution

    |