Question

Solve the following initial value problem

?′′ + 3??′ + 2? = 0, ?(0) = 1 and ?′(0) = 1

by using a power series ?0 + ?1? + ?2?2 + ?3?3 + ?4?4.

Answer #1

Solve the initial value problem:
X' = (
1/2
0
1
-1/2
)X,
X(0) =
3
5

Solve the initial value problem
x' = [ 0, 1; -2, 3]x + [0, e^t], x(0) = [1, 1]

Use the Laplace Transform to solve the initial value
problem.
?′′+9?′+18?=3? ,?(0)=2,?′(0)=−1

For the initial value problem
• Solve the initial value problem.
y' = 1/2−t+2y withy(0)=1

Solve the following initial value problem
?′′ + 9? = 10?−?, ?(0) = 0 and ?′(0) = 0
by using the Laplace transform method.

(1 point) Math 216 Homework webHW9, Problem 9 Solve the initial
value problem ?″+8?′+16?=?(?−3)−?(?−6),?(0)=2,x’(0)=2

solve the following initial value problem
y(3)+y'' = 5x + 8e-x, y(0)=1, y'(0)=0,
y''(0)=1

Solve the initial value problem:
??/??+3?=7, ?(0)=0
y(x)=?

Solve the initial value problem y′′+6y′+9y=0, y(−1)=3,
y′(−1)=3.

Solve the given initial-value problem.
y'' + 49y = 0, y(0) = 3, y'(0) = −4

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