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. { 1 3 x − 2 y = 1 5 x − 30 y = 18
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. { 1 3 x − 2 y = 1 5 x − 30 y = 18
Solution Summary: The author explains the solution of the system of linear equations by substitution method or elimination method. If system has no solution, then state it is inconsistent.
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.
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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