In problems 1 − 4 , solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. { 3 x + 2 y − 8 z = − 3 − x − 2 3 y + z = 1 6 x − 3 y + 15 z = 8
In problems 1 − 4 , solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent. { 3 x + 2 y − 8 z = − 3 − x − 2 3 y + z = 1 6 x − 3 y + 15 z = 8
Solution Summary: The author explains the solution of the system of linear equations by substitution method or elimination method.
In problems
1
−
4
, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, state that it is inconsistent.
{
3
x
+
2
y
−
8
z
=
−
3
−
x
−
2
3
y
+
z
=
1
6
x
−
3
y
+
15
z
=
8
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
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