Advertisements
Advertisements
Question
Choose the correct alternative:
The number of arbitrary constants in the general solutions of order n and n +1are respectively
Options
n – 1, n
n, n + 1
n + 1, n + 2
n + 1, n
Advertisements
Solution
n, n + 1
APPEARS IN
RELATED QUESTIONS
The velocity v, of a parachute falling vertically satisfies the equation `"v" (dv)/(dx) = "g"(1 - v^2/k^2)` where g and k are constants. If v and are both initially zero, find v in terms of x
Solve the following differential equation:
`(ydx - xdy) cot (x/y)` = ny2 dx
Solve the following differential equation:
`[x + y cos(y/x)] "d"x = x cos(y/x) "d"y`
Solve the following differential equation:
`(x^3 + y^3)"d"y - x^2 y"d"x` = 0
Solve the following differential equation:
`y"e"^(x/y) "d"x = (x"e"^(x/y) + y) "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
Choose the correct alternative:
The number of arbitrary constants in the particular solution of a differential equation of third order is
Solve: `("d"y)/("d"x) = "ae"^y`
Solve: `("d"y)/("d"x) + "e"^x + y"e"^x = 0`
Solve: `("d"y)/("d"x) = y sin 2x`
Solve the following homogeneous differential equation:
`("d"y)/("d"x) = (3x - 2y)/(2x - 3y)`
Solve the following homogeneous differential equation:
(y2 – 2xy) dx = (x2 – 2xy) dy
Solve the following:
`("d"y)/("d"x) - y/x = x`
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
Solve (x2 + y2) dx + 2xy dy = 0
Solve `x ("d"y)/(d"x) + 2y = x^4`
Solve x2ydx – (x3 + y3) dy = 0
Solve `("d"y)/("d"x) = xy + x + y + 1`
