Home
Class 12
MATHS
The degree of the differential equation ...

The degree of the differential equation `(d^2y)/(dx^2)+e^(dy//dx)=0.`

Text Solution

AI Generated Solution

To find the degree of the given differential equation \[ \frac{d^2y}{dx^2} + e^{\frac{dy}{dx}} = 0, \] we can follow these steps: ...
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

(i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//dx)=0 is… (ii) The degree of the differential equation sqrt(1+((dy)/(dx))^(2))="x is"....... (iii) The number of arbitrary constant in the general solution of differential equation of order three is.. (iv) (dy)/(dx)+(y)/(x log x)=(1)/(x) is an equation of the type.... (v) General solution of the differential equation of the type is givven by... (vi) The solution of the differential (xdy)/(dx)+2y=x^(2) is.... (vii) The solution of (1+x^(2))(dy)/(dx)+2xy-4xy^(2)=0 is... (viii) The solution of the differential equation ydx+(x+y)dy=0 is .... (ix) Genergal solution of (dy)/dx)+y=sin x is.... (x) The solution of differential equation cot y dx=xdy is.... (xi) The integrating factor of (dy)/(dx)+y=(1+y)/(x) is.....

The degree of the differential equation ((d^2y)/(dx^2))^2+((dy)/(dx))^2="sin "((dy)/(dx)) is

The degree of the differential equation (d^2y)/(dx^2)+((dy)/(dx))^2+6y^5=0 is

Find the degree of the differential equation (d^(2)y)/(dx^(2)) - (dy)/(dx) - 6y = 0

The degree of the differential equation (d^(2)y)/(dx^(2))+3((dy)/(dx))^(2)=x^(2)log((d^(2)y)/(dx^(2))), is

The degree of the differential equation 3(d^2y)/(dx^2)= {1+("dy"/"dx")^2}^(3/2) is

The degree of the differential equation (d^2y)/(dx^2)-sqrt("dy"/"dx")-3=x is

Write the order and the degree of the differential equation (d^(2)y)/(dx^(2))+5(dy)/(dx)+3y=0.

Find the degree of the differential equation 4(d^(2)y)/(dx^(2))+3(dy)/(dx)+sin x=0

The degree of the differential equation ((d^(2)y)/(dx^(2)))+((dy)/(dx))^(2)=xsin((d^(2)y)/(dx^(2))) is

RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Determine the order and degree of each of the following differential...

    Text Solution

    |

  2. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  3. The degree of the differential equation (d^2y)/(dx^2)+e^(dy//dx)=0.

    Text Solution

    |

  4. The number of arbitrary constants in the particular solution of a d...

    Text Solution

    |

  5. Write the order of the differential equation representing the family o...

    Text Solution

    |

  6. Find the sum of the order and degree of the differential equation y...

    Text Solution

    |

  7. Find the solution of the differential equation x\ sqrt(1+y^2)dx+y\ sqr...

    Text Solution

    |

  8. find the solution of the following differential equation x logx (dy)/...

    Text Solution

    |

  9. The general solution of the differential equation dy / dx = y / x is

    Text Solution

    |

  10. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

    Text Solution

    |

  11. The degree of the differential equation ((d^2y)/(dx^2))^2-((dy)/(dx))=...

    Text Solution

    |

  12. The degree of the differential equation {5+((dy)/(dx))^2}^(5//3)=x^5 \...

    Text Solution

    |

  13. The general solution of the differentia equation (dy)/(dx)+ycotx = cos...

    Text Solution

    |

  14. The differentia equation obtained on eliminating A and B from y=A c...

    Text Solution

    |

  15. The equation of the curve whose slope is given by (dy)/(dx)=(2y)/x ; x...

    Text Solution

    |

  16. The order of the differential equation whose general solution is given...

    Text Solution

    |

  17. The solution of the differential equation (dy)/(dx)=(a x+g)/(b y+f) re...

    Text Solution

    |

  18. Solution of the differential equation (dy)/(dx)+(2y)/(x)=0, where y(1)...

    Text Solution

    |

  19. The solution of the differential equation (dy)/(dx)-(y(x+1))/x=0 is gi...

    Text Solution

    |

  20. The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y...

    Text Solution

    |