Advertisements
Advertisements
Question
Find the differential equation of the following:
xy = c2
Advertisements
Solution
Differentiating w.r. to x
`x(("d"y)/("d"x)) + y(1)` = 0
∴ `x(("d"y)/("d"x)) + y` = 0
APPEARS IN
RELATED QUESTIONS
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:
`(("d"y)/("d"x))^3 + y = x - ("d"x)/("d"y)`
Find the differential equation of the following:
y = cx + c – c3
Form the differential equation by eliminating α and β from (x – α)2 + (y – β)2 = r2
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
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 order and degree of the differential equation `sqrt(("d"^2y)/("d"x^2)) = sqrt(("d"y)/("d"x) + 5)` are respectively
Solve yx2dx + e–x dy = 0
The differential equation whose solution is Ax2 + By2 = 1 where A and B are arbitrary constants is of ______.
