Advertisements
Advertisements
Question
Find the order and degree of the following differential equation:
`("d"^2y)/("d"x^2) = sqrt(y - ("d"y)/("d"x))`
Advertisements
Solution
Highest order derivative is `("d"^2y)/("d"x^2)`
∴ Order = 2
Power of the highest order derivative `("d"^2y)/("d"x^2)` is 2
∴ Degree = 2
APPEARS IN
RELATED QUESTIONS
Find the order and degree of the following differential equation:
`("d"y)/("d"x) + 2 = x^3`
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:
`("d"^2y)/("d"x^2) + y + (("d"y)/("d"x) - ("d"^3y)/("d"x^3))^(3/2)` = 0
Find the order and degree of the following differential equation:
(2 – y”)2 = y”2 + 2y’
Form the differential equation that represents all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis
Choose the correct alternative:
The degree of the differential equation `("d"^4y)/("d"x^4) - (("d"^2y)/("d"x^2))^4 + ("d"y)/("d"x) = 3`
Choose the correct alternative:
Th e differential equation `(("d"x)/("d"y))^3 + 2y^(1/2) = x` is
Choose the correct alternative:
The differential equation formed by eliminating a and b from y = aex + be-x is
Solve yx2dx + e–x dy = 0
