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(Solved): Exercise. Use the guess and check method to solve the IVP defined by B^(')(t)=9,B(0)=2; the solution ...
Exercise. Use the guess and check method to solve the IVP defined by B^(')(t)=9,B(0)=2;
the solution is a polynomial.
Exercise. Show that
B(t)=(e^(-st)[g(e^(2)t-1)+10s])/(s)
is the solution of the IVP defined by B^(')(t)=g-sB(t),B(0)=10 where s,g are constants.
Exercise. Find the equilibria of the ODE B^(')(t)=g-sB(t)+(B(t))^(2) where s,g are constants.
Exercise. For which value(s) of g does the ODEB^(')(t)=g have an equilibrium?