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"^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 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:
xy = c2
Find the differential equation of the following:
x2 + y2 = a2
Find the differential equation of all circles passing through the origin and having their centers on the y axis
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 `(("d"^2y)/("d"x^2))^(3/2) - sqrt((("d"y)/("d"x))) - 4 = 0` are respectively
The differential equation whose solution is Ax2 + By2 = 1 where A and B are arbitrary constants is of ______.
