[system of linear Differential Equations] Use matrix methods to solve the follow initial -value problem,
u (t) = 2u (t) + 2v (t) + 4
V (t) = u (t) + 3v (t) – 1
u (0) = 2
v (0) = -1
[ find, u (t) and v (t) ].
Differential Equations: Please try to computer type, if not
possible be clear and organize. Thank you so much
Use an annihilator to solve the IVP: y’’’ – y ’= 2sinx, y(0)=0 ,
y’(0)=0 , y”(0)=1
Differential Equations: Please try to computer type, if not
possible be clear and organize. Thank you so much
Find the first 5 nonzero terms of the power series solution,
centered at Xo= 0, to the IVP: (1-x)y” + y = 0, y(0)=1, y’(0)=1
Elementary Differential Equations Problems:
1) Find the solution of the initial value
problem of y" + 3y' = 0, y(0) = -2, y'(0) = 3
2) Find the general solution of the equation
4y" - 9y = 0
3) Find the general solution of the equation
dy/dt = 2t(y – 2y2)
4) Given the second order linear homogeneous
equation y"- 2y' + y = 0,
a) Verify that y1(t) = e^t and
y2(t) = t e^t are solutions of the...
Let A be a square matrix defined by (a) Find the eigenvalues and eigenspaces of A.(b) Show that A is not diagonalizable but triangularizable. Triangularize A.