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"y)/("d"x) + 2 = x^3`
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"^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:
x2 + y2 = a2
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 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
The differential equation whose solution is Ax2 + By2 = 1 where A and B are arbitrary constants is of ______.
