Question

Find the solution of the initial value problem

y′′+16y′+63y=0, y(0)=7 and y′(0)=−59.

y(t)=

Answer #1

Find the solution of the initial value problem 16y′′−y=0,
y(−4)=1 and y′(−4)=−1

Solve the initial value problem
3y'(t)y''(t)=16y(t) , y(0)=1,
y'(0)=2

Find the Laplace transform Y(s)=L{y} of the solution of the
given initial value problem.
A. y′′+16y = {1, 0 ≤ t < π
= {0, π ≤ t < ∞, y(0)=3, y′(0)=5
B. y′′ + 4y = { t, 0 ≤ t < 1
= {1, 1 ≤ t < ∞, y(0)=3, y′(0)=3

Solve the initial value problem:
y”+16y’+64y=7e^(-t)
y(0)=0, y’(0)=0

Find the solution of the given initial value problem: y " + y =
f(t); y(0) = 6, y' (0) = 3 where f(t) = 1, 0 ≤ t < π 2 0, π 2 ≤
t < ∞

Find the solution of the initial value problem
y′′+4y=t^2+4^(et), y(0)=0, y′(0)=3.

Let y = y ( t
) be the solution to the initial value problem
t
d y d t + 2 y = sin t , y ( π ) = 0
Find the value
of

Find y(t) solution of the initial value problem
3ty^2y'-6y^3-4t^2=0, y(1)=1, t>0

Find the solution to the initial value problem
(y′−e−t+5)/y=−5, y(0)=−4
Discuss the behavior of the solution y(t)y(t) as tt becomes
large. Does limt→∞y(t)limt→∞y(t) exist? If the limit exists, enter
its value. If the limit does not exist, enter DNE.

Find the solution to the initial value problem
(y′−e−t+5)/y=−5, y(0)=−4
Discuss the behavior of the solution y(t)y(t) as tt becomes
large. Does limt→∞y(t)limt→∞y(t) exist? If the limit exists, enter
its value. If the limit does not exist, enter DNE.

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