Second-Order ODEs - Complex Roots
Find solutions for each of the following homogeneous differential equations, given the specified initial conditions.
(1)
y''(t) + 1.6y'(t) + 16y(t) = 0
Given y(0-) = -2 and y'(0-) = 8, solve for y(t)=
(2)
y''(t) + 9y'(t) + 25y(t) = 0
Given y(0-) = -1 and y'(0-) = 3, solve for y(t)=
Second-Order ODEs-Complex Roots
Find solutions for each of the following homogeneous differential equations, given the specified initial conditions.
(1)
y''(t) + 1.6y(t) + 16y(t) = 0
Given y0- = -2 and y0- = 8, solve for yt =
(2)
yt) + 9y(t) + 25yt = 0
Given y0- = -1 and y0- = 3, solve for yt =