Advertisements
Advertisements
प्रश्न
Solve: `("d"y)/("d"x) = y sin 2x`
उत्तर
`("d"y)/("d"x) = y sin 2x`
⇒ `("d"y)/y = sin 2x "d"x`
Integrating on both sides
`int 1/y "d"y = int sin 2x "d"x`
⇒ log y = `(- cos 2x)/2 + "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
Solve the following differential equation:
`("d"y)/("d"x) = sqrt((1 - y^2)/(1 - x^2)`
Solve the following differential equation:
`sin ("d"y)/("d"x)` = a, y(0) = 1
Solve the following differential equation:
`("d"y)/("d"x) = "e"^(x + y) - x^3"e"^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
Solve: `log(("d"y)/("d"x))` = ax + by
Solve the following homogeneous differential equation:
(y2 – 2xy) dx = (x2 – 2xy) dy
Choose the correct alternative:
The differential equation of y = mx + c is (m and c are arbitrary constants)
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
