Question

Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt = 2x + 3y − 5 dy dt = −x − 2y + 4 x(t), y(t)

Answer 1

Try this solution (see the attachment, it is consists of 3 steps).

Answer 2

The system of non homogeneous linear equation is

dx/dt=2x+3y-5

dy/dt=-x-2y+4

Using differential equations and method of undetermined coefficients the solution will be

y(t,x)=-x^2+2*xt+x