Home
Class 12
MATHS
Find the equation of a curve passing t...

Find the equation of a curve passing through the point (0, 0) and whose differential equation is `y^(prime)=e^ xsinx`

Text Solution

Verified by Experts

`y^(prime)=e ^xsinx`
`(dy)/(dx) = e^xsinx`
`int dy = int e^x sinx dx`
`Y =I`
...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|28 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.3|12 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise Exercise 9.2|12 Videos

  • DETERMINANTS

    NCERT ENGLISH|Exercise All Questions|116 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.4|25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the curve passing through the point (1,1) whose differential equation is : xdy=(2x^2+1)dx

Find the equation of the curve passing through the point (1,1) whose differential equation is : xdy=(2x^2+1)dxdot

Find the equation of the curve passing through the point (1, -1) whose differential equation is xy(dy)/(dx)=(x+2)(y+2)

Find the equation of the curve passing through the point (0,pi/4) whose differential equation is sinx cosy dx + cosx siny dy = 0 .

Find the equation of the curve passing through the point (1, 1) whose differential equation is x dy =(2x^2+1)dx(x!=0) .

Show that the equation of the curve passing through the point (1,0) and satisfying the differential equation (1+y^2)dx-xydy=0 is x^2-y^2=1

Determine the equation of the curve passing through the point whose differntial equation is given by (dy)/(dx)=cos(6x+3y) .

Find the equation of a line passing through the point (-1,0) and perpendicular to the line x+5y=4 .

The equation of the curve passing through the point (1,1) and satisfying the differential equation (dy)/(dx) = (x+2y-3)/(y-2x+1) is

Find the equation of the curve passing through origin and satisfying the differential equation 2xdy = (2x^(2) + x) dx .

NCERT ENGLISH-DIFFERENTIAL EQUATIONS-EXERCISE 9.4
  1. Find the general solution of the differential equations y log y dx – ...

    Text Solution

    |

  2. Find the general solution of the differential equations sec^2xtany dx...

    Text Solution

    |

  3. The solution of the differential equation (e^x+e^(-x))dy-(e^x-e^(-x))d...

    Text Solution

    |

  4. Find the general solution of the differential equations '(dy)/(dx)=sq...

    Text Solution

    |

  5. Find the general solution of the differential equations (dy)/(dx)+y=1...

    Text Solution

    |

  6. Find the general solution of the differential equations (dy)/(dx)=(1-...

    Text Solution

    |

  7. In a bank principal increases at the rate of r% per year. Find the ...

    Text Solution

    |

  8. In a bank, principal increases continuously at the rate of 5% per y...

    Text Solution

    |

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

    Text Solution

    |

  10. In a culture, the bacteria count is 1,00,000. The number is increased...

    Text Solution

    |

  11. The volume of spherical balloon being inflated changes at a constant ...

    Text Solution

    |

  12. At any point (x, y) of a curve, the slope of the tangent is twice t...

    Text Solution

    |

  13. Find the equation of a curve passing through the point (0, 0) and wh...

    Text Solution

    |

  14. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  15. Find the equation of the curve passing through the point (0, -2) gi...

    Text Solution

    |

  16. For the differential equation x y(dy)/(dx)=(x+2)(y+2), find the solu...

    Text Solution

    |

  17. Find a particular solution satisfying the given condition : (x^(3)+x...

    Text Solution

    |

  18. Find the general solution of the differential equations e^xtanydx+(1-...

    Text Solution

    |

  19. The differential equations, find a particular solution satisfying the...

    Text Solution

    |

  20. For the differential equation, find a particular solution satisfying ...

    Text Solution

    |