Home
Class 12
MATHS
The general solution of e^x cos y dx - e...

The general solution of `e^x cos y dx - e^x sin y dy = 0 ` is :

A

`e^(x) cos y =k`

B

`e^(x) sin y = k`

C

`e^(x) = k cos y`

D

`e^(x) = k sin y`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

The general solution of the DE (x - y)dy - (x + y) dx = 0 is

Find the general solution of y log y dx - x dy = 0

The general solution of (1+x)y dx =(1-y)x dy is :

Find the general solution of e^(x) tan y dx + (1 - e^(x))sec^(2)y dy = 0

find the general solution of sec^(2)x tan y dx + sec^(2) y tan x dy = 0

The solution of x dy/dx +y = e^(x) is

The general solution of ydx-xdy-3x^(2)y^(2)e^(x^(3)) dx =0 is

The solution of the differential equation cosy. cos x dx + sin x . Sin y dy = 0 is

find the general solution of (e^(x) + e^(-x))dy - (e^(x) - e^(-x)) dx = 0

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. tan^(-1)x+tan^(-1)y = c is the general solution of the differential eq...

    Text Solution

    |

  2. The differential equation y(dy)/(dx)+x=c represents

    Text Solution

    |

  3. The general solution of e^x cos y dx - e^x sin y dy = 0 is :

    Text Solution

    |

  4. The degree of the differential equation (d^(2)y)/dx^(2) + (dy/dx)^(3) ...

    Text Solution

    |

  5. The solution of (dy)/(dx)+y=e^(-x),y(0)=0 is :

    Text Solution

    |

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

    Text Solution

    |

  7. The integrating factor of (dy)/(dx)+y=(1+y)/x is

    Text Solution

    |

  8. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

    Text Solution

    |

  9. The solution of the differential equation cosx siny dx + sin x cos y d...

    Text Solution

    |

  10. The solution of x dy/dx +y = e^(x) is

    Text Solution

    |

  11. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

    Text Solution

    |

  12. Family y=Ax + A^3 of curves will correspond to a differential equatio...

    Text Solution

    |

  13. The general solution of dy/dx = 2xe^(x^(2)-y) is

    Text Solution

    |

  14. The curve for which the slope of the tangent at any point equals the r...

    Text Solution

    |

  15. The general solution of the differential equation dy/dx = e^(x^(2)/2)+...

    Text Solution

    |

  16. The solution of the equation (2y-1) dx- (2x+3)dy =0 is

    Text Solution

    |

  17. The differential equation for which y = a cos x + b sin x is

    Text Solution

    |

  18. The order and the degree of the equation [1+(dy/dx)^(2)] = (d^(2)y)/(d...

    Text Solution

    |

  19. Which of the following is the general solution of (d^(2)y)/dx^(2) - 2...

    Text Solution

    |

  20. The differential equation of the family of curves y^(2) = 4a(x+a) is

    Text Solution

    |