Advertisements
Advertisements
Question
Solve: ydx – xdy = 0 dy
Solution
ydx – xdy = 0
ydx = xdy
`1/x "d"x = 1/y "d"y`
Integrating on both sides
`int 1/x "d"x = int 1/y "d"y`
log x = log y + log c
log x = log cy
⇒ x = cy
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)
Solve the following differential equation:
`(y^2 - 2xy) "d"x = (x^2 - 2xy) "d"y`
Choose the correct alternative:
If sin x is the integrating factor of the linear differential equation `("d"y)/("d"x) + "P"y = "Q"`, then P is
Solve: `("d"y)/("d"x) + "e"^x + y"e"^x = 0`
Solve: `log(("d"y)/("d"x))` = ax + by
Solve the following:
If `("d"y)/("d"x) + 2 y tan x = sin x` and if y = 0 when x = `pi/3` express y in term of x
Solve the following:
`("d"y)/("d"x) + y/x = x"e"^x`
Choose the correct alternative:
If y = ex + c – c3 then its differential equation is
Choose the correct alternative:
If sec2 x is an integrating factor of the differential equation `("d"y)/("d"x) + "P"y` = Q then P =
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