Solve the following differential equations using method of
undetermined coefficients:
a) y''-5y'+6y=2t-3e^(-4t)
b)y''+4y=5cos(2x)
c)y''''-y''=3x+yxe^(-x)
d)y''-3y'-4y=3+e^(4t)
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.
3. Solve the following differential equations by using LaPlace
transformation:
2x'' + 7x' + 3x = 0; x(0) = 3, x'(0) = 0
x' + 2x = ?(t); x(0-) = 0
where ?(t) is a unit impulse input given in the LaPlace
transform table.