Advertisements
Advertisements
Question
Choose the correct alternative:
The integrating factor of `x ("d"y)/("d"x) - y = x^2` is
Options
`(-1)/x`
`1/x`
log x
x
Solution
`1/x`
APPEARS IN
RELATED QUESTIONS
Solve the following differential equation:
`("d"^2y)/("d"x^2) - 6 ("d"y)/("d"x) + 8y = 0`
Solve the following differential equation:
(D2 – 2D – 15)y = 0 given that `("d"y)/("d"x)` = 0 and `("d"^2y)/("d"x^2)` = 2 when x = 0
Solve the following differential equation:
`("d"^2y)/("d"x^2) + 16y = 0`
Solve the following differential equation:
(D2 + D – 2)y = e3x + e–3x
Solve the following differential equation:
(D2 – 10D + 25) y = 4e5x + 5
Solve the following differential equation:
`(4"D"^2 + 16"D" + 15)y = 4"e"^((-3)/2x)`
Solve the following differential equation:
(3D2 + D – 14)y – 13e2x
Solve the following differential equation:
Suppose that the quantity demanded Qd = `13 - 6"p" + 2 "dp"/"dt" + ("d"^2"p")/("dt"^2)` and quantity supplied Qs = `- 3 + 2"p"` where p is the price. Find the equilibrium price for market clearance
Choose the correct alternative:
The particular integral of the differential equation f(D) y = eax where f(D) = (D – a)2
Suppose that Qd = `30 - 5"P" + 2 "dP"/"dt" + ("d"^2"P")/("dt"^2)` and Qs = 6 + 3P. Find the equilibrium price for market clearance