Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
If y = ex + c – c3 then its differential equation is
विकल्प
`y = x ("d"y)/("d"x) + ("d"y)/("d"x) - (("d"y)/("d'x))^3`
`y + (("d"y)/("d"x))^3 = x ("d"y)/("d"x) - ("d"y)/("d"x)`
`("d"y)/("d"x) + y = (("d"y)/("d"x))^3 - x ("d"y)/("d"x)`
`("d"^3y)/("d"x^3) = 0`
Advertisements
उत्तर
`y = x ("d"y)/("d"x) + ("d"y)/("d"x) - (("d"y)/("d'x))^3`
APPEARS IN
संबंधित प्रश्न
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
Solve: `y(1 - x) - x ("d"y)/("d"x)` = 0
Solve : cos x(1 + cosy) dx – sin y(1 + sinx) dy = 0
Solve: (1 – x) dy – (1 + y) dx = 0
Solve the following homogeneous differential equation:
(y2 – 2xy) dx = (x2 – 2xy) dy
Solve the following:
`("d"y)/("d"x) + (3x^2)/(1 + x^3) y = (1 + x^2)/(1 + x^3)`
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
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:
The solution of the differential equation `("d"y)/("d"x) = y/x + (f(y/x))/(f"'"(y/x))` is
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
