Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
The solution of the differential equation `("d"y)/("d"x) = y/x + (∅(y/x))/(∅(y/x))` is
विकल्प
`x∅(y/x) = k`
`∅(y/x) = kx`
`y∅(y/x) = k`
`∅(y/x) = ky`
Advertisements
उत्तर
`∅(y/x) = kx`
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`y"d"x + (1 + x^2)tan^-1x "d"y`= 0
Solve the following differential equation:
(ey + 1)cos x dx + ey sin x dy = 0
Solve the following differential equation:
`tan y ("d"y)/("d"x) = cos(x + y) + cos(x - y)`
Solve the following differential equation:
`x ("d"y)/("d"x) = y - xcos^2(y/x)`
Choose the correct alternative:
The general solution of the differential equation `log(("d"y)/("d"x)) = x + y` is
Solve: `("d"y)/("d"x) = "ae"^y`
Solve: `("d"y)/("d"x) + "e"^x + y"e"^x = 0`
Solve : cos x(1 + cosy) dx – sin y(1 + sinx) dy = 0
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 homogeneous differential equation:
`x ("d"y)/("d"x) - y = sqrt(x^2 + y^2)`
Solve the following homogeneous differential equation:
(y2 – 2xy) dx = (x2 – 2xy) dy
Solve the following homogeneous differential equation:
The slope of the tangent to a curve at any point (x, y) on it is given by (y3 – 2yx2) dx + (2xy2 – x3) dy = 0 and the curve passes through (1, 2). Find the equation of the curve
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.
Choose the correct alternative:
Solution of `("d"x)/("d"y) + "P"x = 0`
Choose the correct alternative:
If sec2 x is an integrating factor of the differential equation `("d"y)/("d"x) + "P"y` = Q then P =
Solve `("d"y)/("d"x) + y cos x + x = 2 cos x`
Solve x2ydx – (x3 + y3) dy = 0
