Home
Class 12
MATHS
Verify that y=A\ cos x+sinxsatisfies the...

Verify that `y=A\ cos x+sinx`satisfies the differential equation `cosx \ (dy)/(dx)+(sinx) \ y=1.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

Verify that y=e^(m cos^-1 x) satisfies the differential equation (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)-m^2y=0

Verify that y^2=4a x is a solution of the differential equation y=x(dy)/(dx)+a(dx)/(dy) .

General solution of the differential equation (cosx)(dy)/(dx)+y.sinx=1 is

Solve the following differential equation: (dy)/(dx)+y=sinx

Find the general solution of the differential equations: (dy)/(dx)+2y=sinx

Verify that y=-x-1 is a solution of the differential equation (y-x)dy-(y^2-x^2)dx=0.

Solve the following differential equation: (dy)/(dx)+y=cosx-sinx

Differentiate (sinx)^(cosx)

Solve the following differential equation: cosx(1+cosy)dx-siny(1+sinx)dy=0

Find (dy)/(dx) if, sinx y+cos(x+y)=1

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Verify thaty=c x+2c^2 is a solution of the differential equation 2((dy...

    Text Solution

    |

  2. Show that y^2-x^2 - x y=a is a solution of the differential equation (...

    Text Solution

    |

  3. Verify that y=A\ cos x+sinxsatisfies the differential equation cosx \ ...

    Text Solution

    |

  4. Find the differential equation corresponding to y=a e^(2x)+b e^(-3x)+c...

    Text Solution

    |

  5. The differential equation of all parabolas whose axis are parallel ...

    Text Solution

    |

  6. From x^2+y^2+2a x+2b y+c=0, derive a differential equation not contain...

    Text Solution

    |

  7. Solve: (dy)/(dx)=sin^3x \ cos^4x+x\ sqrt(x+1)

    Text Solution

    |

  8. Solve the differential equation: (dy)/(dx)=y^2+2y+2

    Text Solution

    |

  9. Solve the following differential equation: (dy)/(dx)=x^2e^x

    Text Solution

    |

  10. Solve the differential equation: tany\ dx+tanx\ dy=0

    Text Solution

    |

  11. Solve the differential equation: x \ cos^2y\ dx=y \ cos^2x\ dy

    Text Solution

    |

  12. Solve: (ln(secx+tanx)/(cosx))dx=(ln(secy+tany)/(cosy))dy

    Text Solution

    |

  13. Solve the following differential equation: \ cos e c\ xlogy(dy)/(dx)+\...

    Text Solution

    |

  14. Solve the differential equation: (dy)/(dx)=1/(x^2+4x+5)

    Text Solution

    |

  15. Solve the differential equation: (dy)/(dx)+\ 4x=e^x

    Text Solution

    |

  16. Solve the following differential equation: (dy)/(dx)-xsin^2x=1/(xlogx)

    Text Solution

    |

  17. Solve the following differential equations: (x+2)(dy)/(dx)-x^2+4x-9,x...

    Text Solution

    |

  18. Solve the differential equation: (dy)/(dx)=sin^3xcos^2x+x e^x

    Text Solution

    |

  19. Solve the following differential equation: (1+x)y dx+(1+y)x\ dy=0

    Text Solution

    |

  20. Solve the following differential equation: (1-x^2)dy+x y\ dx\ =x y^2 d...

    Text Solution

    |