Advertisements
Advertisements
Question
Find the differential equation of the following:
y = cx + c – c3
Advertisements
Solution
y = cx + c – c3 ......(1)
Here c is a constant which has to be eliminated
Differentiating w.r.t x, `("d"y)/("d"x)` = c .......(2)
Using (2) in (1) we get,
y = `(("d"y)/("d"x)) x + ("d"y)/("d"x) - (("d"y)/("d"x))^3`
Which is the required differential equation.
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) = 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:
(2 – y”)2 = y”2 + 2y’
Find the differential equation of the following:
y = c(x – c)2
Find the differential equation of the following:
x2 + y2 = a2
Find the differential equation of the family of all straight lines passing through the origin
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
