Advertisements
Advertisements
Question
Solve: `("d"y)/("d"x) = y sin 2x`
Advertisements
Solution
`("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
RELATED QUESTIONS
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:
x cos y dy = ex(x log x + 1) dx
Solve the following differential equation:
`(y^2 - 2xy) "d"x = (x^2 - 2xy) "d"y`
Choose the correct alternative:
The general solution of the differential equation `log(("d"y)/("d"x)) = x + y` is
Choose the correct alternative:
The solution of the differential equation `("d"y)/("d"x) = y/x + (∅(y/x))/(∅(y/x))` 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:
The differential equation of x2 + y2 = a2
Form the differential equation having for its general solution y = ax2 + bx
