Advertisements
Advertisements
प्रश्न
Solve: `y(1 - x) - x ("d"y)/("d"x)` = 0
Advertisements
उत्तर
`y(1 - x) - x ("d"y)/("d"x)` = 0
`y(1 - x) = x ("d"y)/("d"x)`
⇒ `((1 - x))/x "d"x = 1/y "d"y`
`(1/x - x/x) "d"x = 1/y "d"y`
⇒ `(1/x - 1) "d"x = 1/y "d"y`
Integrating on both sides
`int (1/x - 1) "d"x = int 1/y "d"y`
`log x - x = log y + "c"`
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`("d"y)/("d"x) = sqrt((1 - y^2)/(1 - x^2)`
Solve the following differential equation:
(ey + 1)cos x dx + ey sin x dy = 0
Solve the following differential equation:
`("d"y)/("d"x) = tan^2(x + y)`
Choose the correct alternative:
The general solution of the differential equation `log(("d"y)/("d"x)) = x + y` is
Solve: `(1 + x^2)/(1 + y) = xy ("d"y)/("d"x)`
Solve the following homogeneous differential equation:
(y2 – 2xy) dx = (x2 – 2xy) dy
Solve the following:
`("d"y)/("d"x) + y tan x = cos^3x`
Choose the correct alternative:
If y = ex + c – c3 then its differential equation is
Solve `x ("d"y)/(d"x) + 2y = x^4`
Solve x2ydx – (x3 + y3) dy = 0
