Home
Class 12
MATHS
For each of the differential equations ...

For each of the differential equations given below, indicate its order and degree (if defined).(i) `(d^2y)/(dx^2)+5x((dy)/(dx))^2-6x y=logx` (ii) `((dy)/(dx))^3-4((dy)/(dx))^2+7y=sinx`(iii) `(d^4y)/(dx^4)-sin((d^3y)/(dx^3))=0`

Text Solution

Verified by Experts

The correct Answer is:
Order 1, degree 3
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise COMPETITION FILE|17 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Exercise|4 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

Write the order and degree of x((d^(2)y)/(dx^(2)))+((dy)/(dx))^(3)+y^(2)=0

Find the order and degree (if defined) of the equation: (d^(2)y)/(dx^(2))={1+((dy)/(dx))^(4)}^((5)/(3))

Find the order and degree of (d^3y)/dx^3+2((d^2y)/dx^2)^2-(dy)/(dx)+y=0

find order and degree ((d^(2)y)/(dx^(2)))+((dy)/(dx))^(3)+y^(4)=0

Write order and degree (if defined) of each of the following differential equations. ((dy)/(dx))^(3)-4((dy)/(dx))^(2)+7y=sinx

find the order and degree of D.E : (1) ((d^(2)y)/(dx^(2) ))^2 + ((dy)/(dx))^(3) = e^(x) (2) sqrt(1 + 1/((dy)/(dx))^(2))= ((d^(2)y)/(dx^(2)))^(3/2) (3) e^((dy)/(dx))+ (dy)/(dx) =x

Find degree and order x(d^(2)y)/(dx^(2))+((dy)/(dx))^(5)-y(dy)/(dx)=3

The degree of the differential equation (d^3y)/(dx^3)+x((dy)/(dx))^4 = 4 log ((d^4y)/(dx^4)) is

Find the order and degree of the differential equation . (d^(2)y)/(dx)^(2)+x((dy)/(dx))^(3)-1=0

Find the order and degree (if defined) of the equation: ((d^(3)y)/(dx^(3)))^((2)/(3))+4-3(d^(2)y)/(dx^(2))+5(dy)/(dx)=0

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Revision Exercise
  1. Write order and degree (if defined) of each of the following different...

    Text Solution

    |

  2. For each of the differential equations given below, indicate its orde...

    Text Solution

    |

  3. Find the order and degree (if defined) of the equation: (d^4y)/(dx^4)...

    Text Solution

    |

  4. For each of the exercises given below, verify that the given function...

    Text Solution

    |

  5. The differential equation for y=e^(x)(acosx+bsinx) is

    Text Solution

    |

  6. For each of the problems, given below, verify that the given function ...

    Text Solution

    |

  7. Verify that x^(2)=2y^(2)log y is a solution of the differential equati...

    Text Solution

    |

  8. Obtain the differential equation of the family of circles passing thro...

    Text Solution

    |

  9. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

    Text Solution

    |

  10. Find the general solution of each of the following differential equat...

    Text Solution

    |

  11. Solve : (dy)/(dx)=(x e^(x)log x +e^(x))/(x cos y).

    Text Solution

    |

  12. Solve : (1+x^(2)+y^(2)+x^(2)y^(2))dx+xy dy=0, given that y=0 when x=1.

    Text Solution

    |

  13. Solve x((dy)/(dx))=y(logy-logx+1)

    Text Solution

    |

  14. The slope of the tangent at a point P(x, y) on a curve is (- (y+3)/(x+...

    Text Solution

    |

  15. Find the equation of the curve passing through the point (0,pi/4) w...

    Text Solution

    |

  16. Find the equation of a curve passing through the point (1, 1), given t...

    Text Solution

    |

  17. The decay rate of radium at any time t is proportional to its mass ...

    Text Solution

    |

  18. Solve : (dy)/(dx)= (2x+3y-4)^(2).

    Text Solution

    |

  19. Solve: (dy)/(dx)+y=e^x

    Text Solution

    |

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

    Text Solution

    |