Advertisements
Advertisements
प्रश्न
Find the differential equation of the family of all straight lines passing through the origin
Advertisements
उत्तर
The general equation for a family of lines passing through the origin is
y = mx .........(1)
Differentiating w.r.t x,
`("d"y)/("d"x)` = m .......(2)
Using (2) in (1)
y = `(("d"y)/("d"x)) x` is the required differential equation
APPEARS IN
संबंधित प्रश्न
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:
(2 – y”)2 = y”2 + 2y’
Form the differential equation by eliminating α and β from (x – α)2 + (y – β)2 = r2
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 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:
The differential equation formed by eliminating a and b from y = aex + be-x is
Choose the correct alternative:
The differential equation formed by eliminating A and B from y = e-2x (A cos x + B sin x) is
Solve yx2dx + e–x dy = 0
