Home
Class 12
MATHS
Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sq...

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

Text Solution

Verified by Experts

`{Given}(frac{e^{-2 sqrt{x}}}{sqrt{x}}-frac{y}{sqrt{x}}) frac{d x}{d y}=1, x neq 0`
or `frac{d y}{d x}=frac{e^{-2 sqrt{x}}}{sqrt{x}}-frac{y}{sqrt{x}}`
`` `frac{d y}{d x}+frac{1}{sqrt{x}} cdot y=frac{e^{-2 sqrt{x}}}{sqrt{x}}`
`` It is a linear equation of the form
`` `frac{d y}{d x}+P_{y}=Q `
...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equation [(e^(-2sqrt(x)))/(sqrt(x))-(y)/(sqrt(x))](dx)/(dy)=1(x!=0)

Solve the following differential equation: [(e^(-2)sqrt(x))/(sqrt(x))-(y)/(sqrt(x))](dx)/(dy)=1,x!=0

The solution of differential equation [ e^(-2sqrt(x))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1, (x!=0) is

y= (e^(sqrt (x) +1) )/( e^(sqrt( x)- 1)),then (dy)/(dx)=

If y=e^(sqrt(x))+e^(-sqrt(x)), then (dy)/(dx) is equal to (a)(e^(sqrt(x)))/(2sqrt(x))(b)(e^(sqrt(x))-e^(-sqrt(x)))/(2x)(1)/(2sqrt(x))sqrt(y^(2)-4)(d)(1)/(2sqrt(x))sqrt(y^(2)+4)

The solution of the differential equation (e^(-2 sqrt(x))-(y)/(sqrt(x)))(dx)/(dy)=1 is given by

If y=sqrt(x)+(1)/(sqrt(x)) , then (dy)/(dx)=

If sqrt(x)+sqrt(y)=sqrt(a)," then "(dy)/(dx)=

If y=sqrt((sqrt(x-1))/(sqrt(x+1)))," then "(dy)/(dx)|_(x=4)=

RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve: y\ dx-(x+2y^2)dy=0

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Solve the following differential equation: (dy)/(dx)+y=cosx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Solve the differential equation: (dy)/(dx)+y=e^(-2x)

    Text Solution

    |

  19. Solve the following differential equation: (dy)/(dx)+2y=4x

    Text Solution

    |

  20. Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

    Text Solution

    |