Home
Class 12
MATHS
If the solution of differential equation...

If the solution of differential equation
`(dy)/(dx) +e^(x) (x^(2)-2)y=(x^(2)-2x)(x^(2)-2)e^(2x) " satisfies "` y(0) = 0 , then the value of y(2) is __________

A

`-1`

B

1

C

0

D

e

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|11 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics- Section A|20 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics-Section B|50 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

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

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

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

The solution of the differential equation (dy)/(dx) = e^(3x-2y) +x^(2)e^(-2y) ,is

the solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2))/(y(y^(2)+3x^(2)))=0 is

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

Solution of the differential equation (x(dy)/(dx)-y)e^(y/x)=x^(2)cosx is

The solution of differential equation (2y+xy^(3))dx+(x+x^(2)y^(2))dy=0 is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-MATHEMATICS (SECTION A)
  1. Let f: R to R be defined as f(x) = x-1 and g : R -{1,-1} to R be de...

    Text Solution

    |

  2. If the system of equations alpha x + y + z = 5 , x + 2y + 3z = 4 , x...

    Text Solution

    |

  3. If A=sum(n=1)^oo 1/(3+(-1)^n)^n and B=sum(n=1)^oo (-1)^n/(3+(-1)^n)^n ...

    Text Solution

    |

  4. lim(x to 0) (cos(sinx)-cosx)/x^4 is equal to

    Text Solution

    |

  5. Let f(x) = min {1,1+x sin x} , 0 le x le 2pi . If m is the number of p...

    Text Solution

    |

  6. The sides of a cuboid are 2x,4x , 5x. There is a closed hemisphere of ...

    Text Solution

    |

  7. The area of the region bounded by y^(2) = 8x and y^(2) = 16(3-x) is e...

    Text Solution

    |

  8. If int 1/x sqrt((1-x)/(1+x)) dx = g (x) + c ,g (1) = 0 then g(1/2) is...

    Text Solution

    |

  9. If y = y(x) is the solution of the differential equation x (dy)/(dx) +...

    Text Solution

    |

  10. If the solution of differential equation (dy)/(dx) +e^(x) (x^(2)-2)y...

    Text Solution

    |

  11. If m, is the slope of a common tangent to the curves (x^(2))/16+(y^(2)...

    Text Solution

    |

  12. The locus of the mid -point of the line segment joining the point (4,3...

    Text Solution

    |

  13. The normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/9 = 1 at the poin...

    Text Solution

    |

  14. If the plane 2x+ y - 5z = 0 is rotated about its line of intersection ...

    Text Solution

    |

  15. If the lines vec(r) = (hat(i) - hat(j) + hat(k)) + lambda (3 hat(j) - ...

    Text Solution

    |

  16. Let vec(a) = hat(i) + hat(j) + 2hat(k) , vec(b) = 2hat(i) - 3 hat(j) +...

    Text Solution

    |

  17. The mean and standard deviation of 50 observations are 15 and 2 respec...

    Text Solution

    |

  18. 16 " sin " (20^(@)) " sin " (40^(@)) " sin "(80^(@)) is equal to :

    Text Solution

    |

  19. Find cos^-1(3/10 cos (tan^-1(4/3)+2/5sin(tan^-1(4/3)))

    Text Solution

    |

  20. Let r in {p,q,~p,~q} be such that the logical statement r vv (~p) rAr...

    Text Solution

    |