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
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"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 following:
x2 + y2 = a2
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
Find the differential equation of the family of a parabola with foci at the origin and axis along 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:
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:
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
