Advertisements
Advertisements
प्रश्न
Find the order and degree of the following differential equation:
`(("d"y)/("d"x))^3 + y = x - ("d"x)/("d"y)`
Advertisements
उत्तर
`(("d"y)/("d"x))^3 + y = x - [1/((("d"x)/("d"y)))]`
`(("d"y)/("d"x))^3 + y = [(x(("d"y)/("d"x)) - 1)/((("d"y)/("d"x)))]`
`("d"y)/("d"x) [(("d"y)/("d"x))^3 + y] = x(("d"y)/("d"x)) - 1`
`(("d"y)/("d"))^4 + y(("d"y)/("d"x)) = x(("d"y)/("d"x)) - 1`
Highest order derivative is `("d"y)/("d"x)`
∴ Order = 1
Power of the highest order derivative `("d"y)/("d"x)` is 4
∴ Degree = 4
APPEARS IN
संबंधित प्रश्न
Find the order and degree of the following differential equation:
`("d"^3y)/("d"x^3) + 3 (("d"y)/("d"x))^3 + 2 ("d"y)/("d"x)` = 0
Find the order and degree of the following differential equation:
`("d"^3y)/("d"x^3) = 0`
Find the order and degree of the following differential equation:
(2 – y”)2 = y”2 + 2y’
Find the differential equation of the following:
y = cx + c – c3
Find the differential equation of the following:
y = c(x – c)2
Find the differential equation of the family of all straight lines passing through the origin
Choose the correct alternative:
The order and degree of the differential equation `sqrt(("d"^2y)/("d"x^2)) = sqrt(("d"y)/("d"x) + 5)` are respectively
Choose the correct alternative:
The order and degree of the differential equation `(("d"^2y)/("d"x^2))^(3/2) - sqrt((("d"y)/("d"x))) - 4 = 0` are respectively
Choose the correct alternative:
The differential equation formed by eliminating a and b from y = aex + be-x is
The differential equation whose solution is Ax2 + By2 = 1 where A and B are arbitrary constants is of ______.
