Solve the given de
dx/dt=3x+2y+1
dy/dt=-2x-y+1

We can solve for first by rewriting the system of first-order ODEs as a single second-order ODE in :

Taking the derivative of the first ODE gives

while solving for gives

Then

which is linear with constant coefficients, so it's trivial to solve; the corresponding homogeneous ODE

has characteristic equation

with root (multiplicity 2), so the characteristic solution is

For the non-homogeneous ODE, assume a particular solution of the form

Substituting these into the ODE gives

Then the general solution for is

From here, we find

so that

the bottom of the spinner is not flat.

step-by-step explanation:

a

step-by-step explanation: