Advertisements
Advertisements
Question
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)`
Options
`(x^2"e"^(4x))/(2!)`
`"e"^(4x)/(2!)`
`x^2"e"^(4x)`
`x"e"^(4x)`
Advertisements
Solution
`x^2"e"^(4x)`
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:
(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 – 3D + 2)y = e3x which shall vanish for x = 0 and for x = log 2
Solve the following differential equation:
(D2 + D – 2)y = e3x + e–3x
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
Choose the correct alternative:
The complementary function of (D2 + 4) y = e2x is
Choose the correct alternative:
The particular integral of the differential equation f(D) y = eax where f(D) = (D – a)2
