Solve the given system of differential equations by systematic
elimination.
(D2 − 1)x
−
y
=
0
(D − 1)x
+
Dy
=
0
I had this as my answer and webassign rejected it:
(x(t), y(t)) = c_1e^t+e^{-\left(\frac{t}{2}\right)}\left(c_2\cos
\left(\frac{\sqrt{3}}{2}t\right)+c_3\sin
\left(\frac{\sqrt{3}}{2}t\right)\right),e^{-\left(\frac{t}{2}\right)}\left(\left(-\frac{3}{2}c_2-\frac{3\sqrt{3}.}{4}c_3\right)\cos
\left(\frac{\sqrt{3}}{2}t\right)+\left(\frac{-3}{2}c_3+\frac{3\sqrt{3}}{4}c_2\right)\sin
\left(\frac{\sqrt{3}}{2}t\right)\right)
Question No.1: Solve the following system of two linear
equations with two variables x and y by “Equating the equations”
method. ? = ?? − ?? ??? ? = −? + 5
Question No.2: Is this matrix ? = [ ? ? ? ? ] singular or
non-singular?
Question No. 3: Solve the following operations with the help of
“PEMDAS”. ? ? − (?? ÷ ?) × ? ÷ ? − ? × ? + ?? ÷ ?3
Question No.4:...
Use MATLAB to solve graphically the planar system of linear
equations
x +4 y = −4
4x +3 y =4
to an accuracy of two decimal points.
Hint: The MATLAB command zoom on allows us to view the plot in a
window whose axes are one-half those of original. Each time you
click with the mouse on a point, the axes’ limits are halved and
centered at the designated point. Coupling zoom on with grid on
allows you to determine...