Home
Class 12
MATHS
Find the order and degree of the followi...

Find the order and degree of the following differential equation: `ln((dy)/(dx))=a x+b y`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Find the order and degree of the following differential equation: sin^(-1)((dy)/(dx))=x+y

Find the order and degree of the following differential equation: e^((d^3y)/(dx^3))-x(d^2y)/(dx^2)+y=0

Find the order and degree of the following differential equation: (dy)/(dx)+y=1/((dy)/(dx))

Find the order and degree of the following differential equation: (d^2y)/(dx^2)=[y+((dy)/(dx))^6]^(1/4)

The order and degree of the following differential equation [1+((dy)/(dx))^(2)]^(5//2)=(d^(3)y)/(dx^(3)) are respectively

Find the order and degree of the differential equation (d^3y)/(dx^3) +y =3sqrt(1 + (dy/dx))

Find the order and degree, if defined, of each of the following differential equations: (i) (dy)/(dx) - cos x = 0 (ii) xy (d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) - y (dy)/(dx) = 0 (iii) y''' + y^(2) + e^(y)' = 0

Determine the order and degree of the differential equation y' + y = e^(x)

If the order and degree of the differential equation sqrt((dy)/(dx))-4 (dy)/(dx)-7x=0 are m and n respectively, then -

Write the order and degree of the differential equation ((d^2y)/(dx^2))^3-((dy)/(dx))^4+5y = x .

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Find the orthogonal trajectories of xy=c.

    Text Solution

    |

  2. Find the order and degree of the following differential equation: (d^2...

    Text Solution

    |

  3. Find the order and degree of the following differential equation: ln((...

    Text Solution

    |

  4. Solve the differential equation ( x + y) dy + (x - y) dx = 0; given th...

    Text Solution

    |

  5. The rate at which a substance cools in moving air is proportional to ...

    Text Solution

    |

  6. Find the equation of the curve in which the subnormal varies as the ...

    Text Solution

    |

  7. Solve: (dy)/(dx) = (siny+x)/(sin2y-xcosy)

    Text Solution

    |

  8. Solve (x-1)dy+ydx=x(x-1)y^(1/3)dxdot

    Text Solution

    |

  9. A normal is drawn at a point P(x , y) of a curve. It meets the x-axis...

    Text Solution

    |

  10. Find the curve for which the length of normal is equal to the radius v...

    Text Solution

    |

  11. What is the integrating factor of the differential equation (1-y^2)(dx...

    Text Solution

    |

  12. The solution of the differential equation {1+xsqrt((x^2+y^2))}dx+{sqr...

    Text Solution

    |

  13. The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x...

    Text Solution

    |

  14. Find the solution of the differential equation {1/x-(y^2)/((x-y)^2)}dx...

    Text Solution

    |

  15. The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-...

    Text Solution

    |

  16. The solution of the differential equation (e^x+e^(-x))dy-(e^x-e^(-x))d...

    Text Solution

    |

  17. The solution of the differential equation (x+2y^3)((dy)/(dx))=y is

    Text Solution

    |

  18. The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and...

    Text Solution

    |

  19. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is

    Text Solution

    |

  20. The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

    Text Solution

    |