Question

The order and degree of the differential equation (
d
2y
dx2
)
3
=
dy
dx
+ y is

a. order=3 , degree=2
b. order=2 , degree=2
c. order=2 , degree=3
d. order=3 , degree=3

Answer 1

Step-by-step explanation:

We need to find the order and degree of the differential equation

dx

2

d

2

y

=

y+(

dx

dy

)

2

Consider

dx

2

d

2

y

=

y+(

dx

dy

)

2

⇒

dx

2

d

2

y

={y+(

dx

dy

)

2

}

1/2

⇒[

dx

2

d

2

y

]

2

=y+(

dx

dy

)

2

We know that, the order of a differential equation is the order of the highest order derivative present in the equation and the degree of a differential equation is the power of the highest order derivative in the equation.

Here the highest order derivative is 2 and its power is 2.

Thus order is 2 and power is 2.