Home
Class 12
MATHS
Determine the equation of the curve pass...

Determine the equation of the curve passing through the origin, in the form `y=f(x),` which satisfies the differential equation `(dy)/(dx)=sin(10 x+6y)dot`

Text Solution

Verified by Experts

The correct Answer is:
`Y=1/3 tan ^(-1) [ 4/5 {4x+ tan ^(-1) 3/4 }-3/5 ]- (5x)/3`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE )|28 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equation: (dy)/(dx)+2y=sin x

Solve the differential equation: (dy)/(dx)+2y=sin\ 3x

solve the differential equation (y + x)(dy)/(dx)=y-x

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 solution f the differential equation (dy)/(dx)=x^3e^(-2y)dot

Solve the differential equation (x+y)dy=(x-y)dx

The equation of the curve passing through the origin and satisfying the differential equation ((dy)/(dx))^(2)=(x-y)^(2) , is

The solution of differential equation x(dy)/(dx)=y is :

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

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

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE ADVANCE (ARCHIVE )
  1. Integrating factor of sec^2y dy/dx+x tany=x^3

    Text Solution

    |

  2. Let u(x) and v(x) be two continous functions satisfying the different...

    Text Solution

    |

  3. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  4. A curve passes through the point (1,pi/6) . Let the slope of the curve...

    Text Solution

    |

  5. Tangent is drawn at any point P of a curve which passes through (1, 1...

    Text Solution

    |

  6. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  7. If length of tangent at any point on the curve y=f(x). Intercepted bet...

    Text Solution

    |

  8. A right circular cone with radius R and height H contains a liquid whi...

    Text Solution

    |

  9. A country has a food deficit of 10%. Its population grows continuously...

    Text Solution

    |

  10. A curve passing through the point (1,1) has the porperty that the perp...

    Text Solution

    |

  11. A and B are two separate reservoirs of water. Capacity of reservoir...

    Text Solution

    |

  12. Determine the equation of the curve passing through the origin, in ...

    Text Solution

    |

  13. If y=y(x) satisfies the differential equation 8sqrt(x)(sqrt(9+sqrt(x...

    Text Solution

    |

  14. The value of overset(13)underset(k=1)(sum) (1)/(sin((pi)/(4) + ((k-1)p...

    Text Solution

    |

  15. Let y(x) be a solution of the differential equation (1+e^x)y^(prime)+y...

    Text Solution

    |

  16. Consider the family of all circles whose centers lie on the straight l...

    Text Solution

    |

  17. "Let "f:(0.oo)rarrR" be a differentiable function such that "f'(x)=2-...

    Text Solution

    |

  18. Let f:R to R be a differentiable function with f(0)=0. If y=f(x) satis...

    Text Solution

    |

  19. A solution curve of the differential equation (x^(2)+xy+4x+2y+4)(dy)/(...

    Text Solution

    |

  20. let T denote a curve y=f(x) which is in the first quadrant and let the...

    Text Solution

    |