MATLAB CODE : Using the ERF , find a particular solution '' for the ODE y + 2y − 3y = 4ex − sin x.
Options:
a) y(x) = Aexp(3x) + B*exp(-x) + (4/5)exp(x) - (1/10)sin(x) - (3/10)cos(x)
b) y(x) = Aexp(3x) + Bexp(-x) + (4/5)exp(x) - (1/2)sin(x) + (3/2)cos(x)
c) y(x) = Aexp(3x) + Bexp(-x) + (4/5)exp(x) - (1/10)sin(x) + (3/10)cos(x)
d) y(x) = Aexp(3x) + Bexp(-x) + (4/5)*exp(x) - (1/2)*sin(x) - (3/2)*cos(x)