Home
Class 12
MATHS
Find the order and degree (if defined) o...

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

Text Solution

Verified by Experts

The correct Answer is:
Order-2, degree-3

`(d^(2)y)/(dx^(2))={1+((dy)/(dx))^(4)}^(5//3)`
or `((d^(2)y)/(dx^(2)))^(3)={1+((dy)/(dx))^(4)}^(5)`
Hence, the order is 2 and degree is 3.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Exercise 10.2|6 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Exercise 10.3|9 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Examples|76 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos
  • DIFFERENTIATION

    CENGAGE|Exercise Numerical Value Type|3 Videos

Similar Questions

Explore conceptually related problems

Determine the order and degree ( if defined ) of the differential equation ((d^(2)y)/(dx^(2)))^(2)+((dy)/(dx))=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: sin^(-1)((dy)/(dx))=x+y

Find the order and degree of the following differential equation y '' = (2 +y')^(3/4)

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

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