solve the initial values:
if Y(3)-4Y"+20Y'=51e^3x
Y"(0)=41, Y'(0)= 11. Y(0)= 7 > solution is Y(x)= e^3x+2 e^2x
sin(4x)+6
so, what is the solution for:
Y(3)-8Y"+17Y'=12e^3x
Y"(0)=26, Y'(0)= 7. Y(0)= 6
Y(x)=???
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.