Advertisements
Advertisements
प्रश्न
Solve the following differential equation:
`(ydx - xdy) cot (x/y)` = ny2 dx
Advertisements
उत्तर
`(ydx - xdy) cot (x/y)` = ny2 dx
Dividing throughout by 'y2'
`((ydx - xdy)/y^2) cot (x/y)` = n dx
`"d"(x/y)* cot(x/y)` = n dx
`int cot(x/y)* "d"(x/y) = "n" int "d"x`
`log sin(x/y)` = nx + c
`sin(x/y) = "e"^("n"x + "c")`
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`sin ("d"y)/("d"x)` = a, y(0) = 1
Solve the following differential equation:
(ey + 1)cos x dx + ey sin x dy = 0
Solve the following differential equation:
`("d"y)/("d"x) - xsqrt(25 - x^2)` = 0
Solve the following differential equation:
`tan y ("d"y)/("d"x) = cos(x + y) + cos(x - y)`
Choose the correct alternative:
The general solution of the differential equation `log(("d"y)/("d"x)) = x + y` is
Choose the correct alternative:
The solution of `("d"y)/("d"x) = 2^(y - x)` is
Solve: `(1 + x^2)/(1 + y) = xy ("d"y)/("d"x)`
Solve: `("d"y)/("d"x) = y sin 2x`
Solve: `log(("d"y)/("d"x))` = ax + by
Solve the following homogeneous differential equation:
`("d"y)/("d"x) = (3x - 2y)/(2x - 3y)`
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:
The integrating factor of the differential equation `("d"y)/("d"x) + "P"x` = Q 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 =
Form the differential equation having for its general solution y = ax2 + bx
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
Solve (D2 – 3D + 2)y = e4x given y = 0 when x = 0 and x = 1
Solve `("d"y)/("d"x) + y cos x + x = 2 cos x`
Solve `("d"y)/("d"x) = xy + x + y + 1`
