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
Solution
A cos2x + B sin2x
APPEARS IN
RELATED QUESTIONS
Solve the following differential equation:
(D2 + 2D + 3)y = 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:
(4D2 + 4D – 3)y = e2x
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)`
Choose the correct alternative:
The particular intergral of the differential equation `("d"^2y)/("d"x^2) - 8 ("d"y)/("d"x) + 16y = 2"e"^(4x)`
Choose the correct alternative:
The integrating factor of `x ("d"y)/("d"x) - y = x^2` is
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