You can solve this problem as separable or Bernoulli
Rewrite as a linear diff eqn in standard form
b)
a non homogeneous system with 4 equations in two unknowns
that has a unique solution
c)
a nonhomogeneous system with 4 equations in two unknowns
that has infinite number of solutions
d)
a nonhomogeneous system with 3 equations in 3 unknowns
that has infinite number of solutions
e)
a homogeneous system with two equations in 3 unknowns
that has a only the trivial solution
f)
a nonhomogenous system with 3 equations in 4 unknowns
that has no solution
g)
a homogeneous system with 3 equations in 4 unknowns
that has no solution
Mathcad will be used to solve this problem
rewrite the equation as a zero equation
define the left-hand side
4.
If possible, give examples of a reduced row echelon
form of the augmented matrix of a linear system with
the given conditions. If not possible, write “impossible”
as an answer.
a)
a nonhomogeneous system with 4 equations in two unknowns
that has no solution
c)
What type of solution does the system have? Why?
The system will have a unique solution because the coefficient
matrix is row equivalent to I3
.
d) Compute the inverse of the coefficient
matrix using the
adjoint
method
First compute the cofactors of A and place them in a
matrix called B
Display the matrix of cofactors
Compute the determinant of A
1.
Given the linear
system
a)
Write the system in matrix form
b)
Show that the coefficient matrix is row equivalent to
I3
The diff. eqn is linear in y and it is already in standard
form
e)
Solve the system using the inverse matrix method
2.
Solve the following differential equations
Substitute in the diff. eqn
