Home
Class 12
MATHS
The order and degree of the differential...

The order and degree of the differential equation `(d^(2)y)/(dx^(2))+((dy)/(dx))^(1//4)+x^(1//5)=0` respectively are

A

2 and 4

B

2 and 2

C

2 and 3

D

3 and 3

Text Solution

Verified by Experts

The correct Answer is:
A
Given that, `" "(d^(2)y)/(dx^(2))+((dy)/(dx))^(1//4)=-x^(1//5)`
`rArr" "(d^(2)y)/(dx^(2))+((dy)/(dx))^(1//4)=-x^(1//5)`
`rArr" "((dy)/(dx))^(1//4)=-(x^(1//5)+(d^(2)y)/(dx^(2)))`
On squaring both sides, we get
`" "((dy)/(dx))^(1//2)=(x^(1//5)+(d^(2)y)/(dx^(2)))^(2)`
Again, on sqaring both sides, we have
`" "(dy)/(dx)=(x^(1//5)+(d^(2)y)/(dx^(2)))^(4)`
order = 2, degree = 4
Promotional Banner

Similar Questions

Explore conceptually related problems

Write the order and degree of the differential equation (d^2y)/(dx^2)+((dy)/(dx))^(1//4)+x^(1//5)=0.

Order and degree of the differential equation (d^(2)y)/(dx^(2))={y+((dy)/(dx))^(2)}^(1//4) are

The order and degree of the differential equation (d^(2)y)/(dx^(2))=sqrt(1+((dy)/(dx))^(3)) , is

The degree of the differential equation (d^2y)/(dx^2)+e^(dy//dx)=0.

The order of the differential equation ((d^(2)y)/(dx^(2)))^(3)=(1+(dy)/(dx))^(1//2)

The degree of differential equation (d^(2)y)/(dx^(2))+y=x sin(dy)/(dx) is

The degree of differential equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+6y^(5)=0 is

Find the degree of the differential equation (d^(2)y)/(dx^(2)) - (dy)/(dx) - 6y = 0

The order and degree of the differential equation sqrt((dy)/(dx))-4(dy)/(dx)-7x=0 are

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