Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
`("d"^2y)/("d"x^2) + y = - (("d"y)/("d"x) - ("d"^3y)/("d"x^3))^(3/2)`
Squaring on both sides
`(("d"^2y)/("d"x^2) + y)^2 = {-(("d"y)/("d"x) - ("d"^3y)/("d"x^3))^(3/2)}`
`(("d"^2y)/("d"x^2) + y)^2 = (("d"y)/("d"x) - ("d"^3y)/("d"x^3))^3`
Highest order derivative is `("d"^3y)/("d"x^3)`
∴ Order = 3
Power of the highest order derivative `("d"^3y)/("d"x^3)` is 3
∴ Degree = 3
APPEARS IN
संबंधित प्रश्न
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 following:
xy = c2
Form the differential equation by eliminating α and β from (x – α)2 + (y – β)2 = r2
Find the differential equation of the family of all straight lines passing through the origin
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`
Solve yx2dx + e–x dy = 0
