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:
`sin ("d"y)/("d"x)` = a, y(0) = 1
Solve the following differential equation:
`("d"y)/("d"x) = "e"^(x + y) - x^3"e"^y`
Solve the following differential equation:
`(x^3 + y^3)"d"y - x^2 y"d"x` = 0
Solve the following differential equation:
`x ("d"y)/("d"x) = y - xcos^2(y/x)`
Choose the correct alternative:
The solution of `("d"y)/("d"x) = 2^(y - x)` is
Solve the following:
`x ("d"y)/("d"x) + 2y = x^4`
Choose the correct alternative:
If y = ex + c – c3 then its differential equation is
Choose the correct alternative:
The solution of the differential equation `("d"y)/("d"x) + "P"y` = Q where P and Q are the function of x is
Choose the correct alternative:
Which of the following is the homogeneous differential equation?
Solve x2ydx – (x3 + y3) dy = 0
