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 Question Bank|25 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

Find the order and degree, if defined, of the following differential equation : (d^(2)y)/(dx^(2))+y=0

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

Find the order and degree (if defined) of the following differential equations ((d^(3)y)/(dx^(3)))^(2//3)=(dy)/(dx)+2

Find the order and degree, if defined, of the following differential equation : xy (d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-y(dy)/(dx)=0

Find the order and degree, if defined, of the following differential equation : (d^(2)y)/(dx^(2))=(2y^(3)+((dy)/(dx))^(4))/(sqrt((d^(2)y)/(dx^2)))

Write order and degree (if defined) of each of the following differential equations. (d^(2)y)/(dx^(2))+((dy)/(dx))^(2)+2y=0

Find the order and degree (if defined) of the following differential equations: y=1+((dy)/(dx))+(1)/(2!)((dy)/(dx))^(2)+(1)/(3!)((dy)/(dx))^(3)+......

Find the order and degree of the following differential equations. 2x*(d^(2)y)/(dx^(2))-(dy)/(dx)+5=0

Write order and degree (if defined) of each of the following differential equations. y=(dy)/(dx)+(5)/(((dy)/(dx)))

Write order and degree (if defined) of each of the following differential equations. ((d^(3)y)/(dx^(3)))+((d^(2)y)/(dx^(2)))^(3)+((dy)/(dx))^(4)+y^(5)=0