Differential Equations
22. Solve each of the following systems of equations.
(c) (D-2)x=0; -3x+(D+2)y=0; -2y+(D-3)z=0
I got x=c1e2t, y= 3/4
C1e2t + C2e-2t by using
diffieq method d/dx(ye2t) =
3C1e2t....., but the right answer is
x=4c1e2t, y= 3C1e2t
+ 5C2e-2t , z= -6C1e2t
-2C2e-2t+C3e3t
I want to know where 4 came from, and please do not use matrix
system.
Solve the differential equation y'' − y' − 2y = 9e^2t , with
initial conditions y(0) = 3, y' (0) = −2, using two different
methods. Indicate clearly which methods you are using. First
method:
Second method: