Advertisements
Advertisements
Question
Choose the correct alternative:
The differential equation formed by eliminating a and b from y = aex + be-x is
Options
`("d"^2y)/("d"x^2) - y = 0`
`("d"^2y)/("d"x^2) - ("d"y)/("d"x) = 0`
`("d"^2y)/("d"x^2) = 0`
`("d"^2y)/("d"x^2) - x = 0`
Advertisements
Solution
`("d"^2y)/("d"x^2) - y = 0`
APPEARS IN
RELATED QUESTIONS
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"^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 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:
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:
Th e differential equation `(("d"x)/("d"y))^3 + 2y^(1/2) = x` is
