Home
Class 12
MATHS
If y+d/(dx)(x y)=x(sinx+logx),find y....

If `y+d/(dx)(x y)=x(sinx+logx),find y.

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

If y+d/(dx)(x y)=x(sinx+logx), y(x)dot ?

d/dx(x^n.logx)

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

STATEMENT-1 : intx^(x)(1+logx)dx=x^(x)+C and STATEMENT-2 : (d)/(dx)x^(x)=x^(x)(1+logx)

Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x . Statement 2: d/(dx)(xy)=0,y is a function of x implies(dy)/(dx)=-y/x .

The solution of the differential equation (dy)/(dx)=(x^2+x y+y^2)/(x^2), is a.) tan^(-1)(x/y)=logy+C b.) tan^(-1)(y/x)=logx+C c.) tan^(-1)(x/y)=logx+C d.) tan^(-1)(y/x)=logy+C

d/dx(x^2+e^x+logx+sinx)

Solution of the differential equation (dy)/(dx)+y/x=sinx is a. x(y+cosx)=sinx+C b. x(y-cosx)=sinx+C c. x(y+cosx)=cos x+C d. None of these

What is the degree of the following differential equation? 5x\ ((dy)/(dx))^2-(d^2\ y)/(dx^2)-\ 6y=logx

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find the general solution of the differential equations: x(dy)/(dx)+...

    Text Solution

    |

  2. Find the general solution of the differential equations: (1+x^2)dy+...

    Text Solution

    |

  3. If y+d/(dx)(x y)=x(sinx+logx),find y.

    Text Solution

    |

  4. Solve: y\ dx-(x+2y^2)dy=0

    Text Solution

    |

  5. Solve: y dx + ( x - y^3) dy = 0

    Text Solution

    |

  6. Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0)

    Text Solution

    |

  7. Solve each of the following initial value problem: (x-siny)dy+(tan...

    Text Solution

    |

  8. Solve each of the following initial value problem: (1+y^2)dx=(tan^...

    Text Solution

    |

  9. Solve the following differential equation: (dy)/(dx)+2y=e^(3x)

    Text Solution

    |

  10. Solve the following differential equation : (dy)/(dx)+2y=6e^x

    Text Solution

    |

  11. Solve the following differential equation: x(dy)/(dx)+y=xlogx

    Text Solution

    |

  12. Solve the following differential equation: (dy)/(dx)+y/x=x^3

    Text Solution

    |

  13. Solve the following differential equation: (dy)/(dx)-y=cosx

    Text Solution

    |

  14. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

    Text Solution

    |

  15. Solve the following differential equation: x\ dy=(2y+2x^4+x^2)dx

    Text Solution

    |

  16. Solve the following differential equation: y^2+(x-1/y)(dy)/(dx)=0

    Text Solution

    |

  17. Solve the following differential equations: (dy)/(dx)=ytanx-2sinx

    Text Solution

    |

  18. Solve the differential equation sinx(dy)/(dx)+ycosx=2sin^2xcosx

    Text Solution

    |

  19. Solve the following differential equation: x(dy)/(dx)+2y=xcosx

    Text Solution

    |

  20. Solve the following differential equation: 4(dy)/(dx)+8y=5\ e^(-3x)

    Text Solution

    |