Advertisements
Advertisements
Question
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
Options
y = `int "Qe"^(int pdx) "d"x + "c"`
y = `int "Qe"^(-int pdx) "d"x + "c"`
`y"e"^(intpdx) = int "Qe"^(intPdx) "d"x + "c"`
`y"e"^(intpdx) = int "Qe"^(- intPdx) "d"x + "c"`
Solution
`y"e"^(intpdx) = int "Qe"^(intPdx) "d"x + "c"`
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
Choose the correct alternative:
The general solution of the differential equation `log(("d"y)/("d"x)) = x + y` is
Solve: `(1 + x^2)/(1 + y) = xy ("d"y)/("d"x)`
Solve: `("d"y)/("d"x) + "e"^x + y"e"^x = 0`
Solve: (1 – x) dy – (1 + y) dx = 0
Solve: `("d"y)/("d"x) = y sin 2x`
Find the curve whose gradient at any point P(x, y) on it is `(x - "a")/(y - "b")` and which passes through the origin
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
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