Advertisements
Advertisements
Question
Choose the correct alternative:
Which of the following is the homogeneous differential equation?
Options
(3x – 5) dx = (4y – 1) dy
xy dx – (x3 + y3) dy = 0
y2 dx + (x2 – xy – y2) dy = 0
(x2 + y) dx = (y2 + x) dy
Advertisements
Solution
y2 dx + (x2 – xy – y2) dy = 0
APPEARS IN
RELATED QUESTIONS
Find the equation of the curve whose slope is `(y - 1)/(x^2 + x)` and which passes through the point (1, 0)
Choose the correct alternative:
The solution of `("d"y)/("d"x) + "p"(x)y = 0` is
Solve: ydx – xdy = 0 dy
Solve: `log(("d"y)/("d"x))` = ax + by
Solve the following homogeneous differential equation:
`(x - y) ("d"y)/("d"x) = x + 3y`
Choose the correct alternative:
The variable separable form of `("d"y)/("d"x) = (y(x - y))/(x(x + y))` by taking y = vx and `("d"y)/("d"x) = "v" + x "dv"/("d"x)` is
Choose the correct alternative:
The solution of the differential equation `("d"y)/("d"x) = y/x + (f(y/x))/(f"'"(y/x))` is
Solve `x ("d"y)/(d"x) + 2y = x^4`
Solve (D2 – 3D + 2)y = e4x given y = 0 when x = 0 and x = 1
Solve x2ydx – (x3 + y3) dy = 0
