Advertisements
Advertisements
प्रश्न
Find the order and degree of the following differential equation:
(2 – y”)2 = y”2 + 2y’
Advertisements
उत्तर
(2)2 – 2(2)(y”) + (y”)2 = (y”)2 + 2y’
4 – 4y” = 2y’
Highest order derivative is y”
∴ Order = 2
Power of the highest order derivative y” is 2
∴ Degree = 1
APPEARS IN
संबंधित प्रश्न
Find the order and degree of the following differential equation:
`("d"^2y)/("d"x^2) = sqrt(y - ("d"y)/("d"x))`
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:
`(("d"y)/("d"x))^3 + y = x - ("d"x)/("d"y)`
Find the differential equation of the following:
y = cx + c – c3
Find the differential equation of the family of all straight lines passing through the origin
Find the differential equation of all circles passing through the origin and having their centers on the y axis
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 differential equation formed by eliminating A and B from y = e-2x (A cos x + B sin x) is
Solve yx2dx + e–x dy = 0
