Advertisements
Advertisements
Question
Choose the correct alternative:
The complementary function of (D2 + 4) y = e2x is
Options
(Ax + B)e2x
(Ax + B)e-2x
A cos2x + B sin2x
Ae-2x + Be2x
Advertisements
Solution
A cos2x + B sin2x
APPEARS IN
RELATED QUESTIONS
Solve the following differential equation:
(D2 + 2D + 3)y = 0
Solve the following differential equation:
`("d"^2y)/("d"x^2) - 2"k" ("d"y)/("d"x) + "k"^2y = 0`
Solve the following differential equation:
(4D2 + 4D – 3)y = e2x
Solve the following differential equation:
`("d"^2y)/("d"x^2) + 16y = 0`
Solve the following differential equation:
(D2 – 10D + 25) y = 4e5x + 5
Choose the correct alternative:
The integrating factor of `x ("d"y)/("d"x) - y = x^2` is
Choose the correct alternative:
The particular integral of the differential equation f(D) y = eax where f(D) = (D – a)2
Choose the correct alternative:
The complementary function of `("d"^2y)/("d"x^2) - ("d"y)/("d"x) = 0` is
Choose the correct alternative:
The P.I of (3D2 + D – 14)y = 13e2x is
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
