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
Solve the following differential equation:
`("d"y)/("d"x) = sqrt((1 - y^2)/(1 - x^2)`
Solve the following differential equation:
`sin ("d"y)/("d"x)` = a, y(0) = 1
Solve the following differential equation:
`(ydx - xdy) cot (x/y)` = ny2 dx
Solve the following differential equation:
x cos y dy = ex(x log x + 1) dx
Solve: `("d"y)/("d"x) = y sin 2x`
Solve: `log(("d"y)/("d"x))` = ax + by
Solve the following homogeneous differential equation:
`(x - y) ("d"y)/("d"x) = x + 3y`
Solve the following:
`("d"y)/("d"x) + y/x = x'e"^x`
Solve the following:
`("d"y)/("d"x) + y/x = x"e"^x`
A manufacturing company has found that the cost C of operating and maintaining the equipment is related to the length ’m’ of intervals between overhauls by the equation `"m"^2 "dC"/"dm" + 2"mC"` = 2 and c = 4 and when = 2. Find the relationship between C and m
