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

Find the order and degree (if defined) of the equation: `a=(1[1+((dy)/(dx))^2]^(3/2))/((d^2y)/(dx^2)),` where `a` is constant

Text Solution

Verified by Experts

The correct Answer is:
Order-2, degree-2
The given equation when exposed as a polynomial in derivative as
`a^(2)(d^(2)y)/(dx^(2))^(2)=[1+((dy)/(dx))^(2)]^(3)`
Clearly, it is second-order differential equation of degree 2.
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 equation: a=(1[1+((dy)/(dx))^(2)]^((3)/(2)))/((d^(2)y)/(dx^(2))), where a is constant

Find the order and degree (if defined) of the equation: (d^(3)y)/(dx^(3))=x ln((dy)/(dx))

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

The order and degree of differential equation: [1+((dy)/(dx))^(2)]=(d^(2)y)/(dx^(2)"are"

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

Write the order and degree of the following differential equations. [1+((dy)/(dx))^2]^(3/2)= k (d^2y)/(dx^2)

The order and degree of the differential equation [1+((dy)/(dx))^(2)]^(3//4)=((d^(2)y)/(dx^(2)))^(1//3)

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