Advertisements
Advertisements
Question
Choose the correct alternative:
The differential equation of y = mx + c is (m and c are arbitrary constants)
Options
`("d"^2y)/("d"x^2) = 0`
`y = x ("d"y)/("d"x) + "c"`
xdy + ydx = 0
yd – xdy = 0
Advertisements
Solution
`("d"^2y)/("d"x^2) = 0`
APPEARS IN
RELATED QUESTIONS
If F is the constant force generated by the motor of an automobile of mass M, its velocity V is given by `"M""dv"/"dt"` = F – kV, where k is a constant. Express V in terms of t given that V = 0 when t = 0
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:
`("d"y)/("d"x) - xsqrt(25 - x^2)` = 0
Choose the correct alternative:
The number of arbitrary constants in the particular solution of a differential equation of third order is
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:
If sec2 x is an integrating factor of the differential equation `("d"y)/("d"x) + "P"y` = Q then P =
Choose the correct alternative:
A homogeneous differential equation of the form `("d"y)/("d"x) = f(y/x)` can be solved by making substitution
Choose the correct alternative:
Which of the following is the homogeneous differential equation?
Choose the correct alternative:
The solution of the differential equation `("d"y)/("d"x) = y/x + (f(y/x))/(f"'"(y/x))` is
Form the differential equation having for its general solution y = ax2 + bx
