Texts: Use the Laplace transform to solve the given initial value problem. For technical reasons, write u_c for the Heaviside function that turns on at c, not u_c(t).
y + 2y + 50y = g(t)
y(0) = -2, y'(0) = 30
Y(s)
y(t) =
/4 Points]
DETAILS
MY NOTES
PRACTICE ANOTHER
Use the Laplace transform to solve the given initial value problem. For technical reasons, write u_s for the Heaviside function that turns on at c, not u_c(t).
y'' + 8y' + 16y = 1(t)
y(0) = -5, y'(0) = -14
Y(s)
y(t) =
/4 Points]
DETAILS
MY NOTES
PRACTICE ANOTHER
Use the Laplace transform to solve the given initial value problem. For technical reasons, write u_c for the Heaviside function that turns on at c, not u_c(t).
y'' + 8y' + 16y = 4(t)
y(0) = 3, y'(0) = 14
Y(s) =
y(t) =