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)`
Solution
`x^2"e"^(4x)`
APPEARS IN
RELATED QUESTIONS
Solve the following differential equation:
`("d"^2y)/("d"x^2) - 4("d"y)/("d"x) + 4y = 0`
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:
`("d"^2y)/("d"x^2) + 16y = 0`
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 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
Choose the correct alternative:
The general solution of the differential equation `("d"y)/("d"x) = cos x` is