Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
The general solution of the differential equation `log(("d"y)/("d"x)) = x + y` is
विकल्प
ex + ey = C
ex + e-y = C
e-x + ey = C
e-x + e-y = C
Advertisements
उत्तर
ex + e-y = C
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
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) = sqrt((1 - y^2)/(1 - x^2)`
Solve the following differential equation:
`y"d"x + (1 + x^2)tan^-1x "d"y`= 0
Solve the following differential equation:
`(ydx - xdy) cot (x/y)` = ny2 dx
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)`
Solve the following differential equation:
`(x^3 + y^3)"d"y - x^2 y"d"x` = 0
Choose the correct alternative:
The solution of the differential equation `("d"y)/("d"x) = y/x + (∅(y/x))/(∅(y/x))` is
Choose the correct alternative:
The number of arbitrary constants in the particular solution of a differential equation of third order is
Solve: `(1 + x^2)/(1 + y) = xy ("d"y)/("d"x)`
Solve: `y(1 - x) - x ("d"y)/("d"x)` = 0
Solve: ydx – xdy = 0 dy
Solve: `log(("d"y)/("d"x))` = ax + by
Solve the following:
`("d"y)/("d"x) + y/x = x"e"^x`
Choose the correct alternative:
The integrating factor of the differential equation `("d"y)/("d"x) + "P"x` = Q is
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:
The variable separable form of `("d"y)/("d"x) = (y(x - y))/(x(x + y))` by taking y = vx and `("d"y)/("d"x) = "v" + x "dv"/("d"x)` is
Solve x2ydx – (x3 + y3) dy = 0
