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MATLAB on a Macintosh
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Airy's equation approach approximate solution argument asymptotically axis behavior Bessel functions Bessel's equation Boyce & DiPrima built-in function calculation Chapter compute Consider constant coefficients corresponding critical points defined df/dy digits direction field discuss display dsolve eigenvalues eigenvectors equilibrium Euler evaluate exact solution example facsimile solution floating point function M-file graph graphics increases initial conditions initial data initial value problem inline function input integral interval linear equations linear system MATLAB session matrix nonlinear numerical methods numerical solution ODE file online help ordinary differential equations output phase portrait plot the solution plot(x population power series Prob Problem Set qualitative regular singular point saddle point script M-file second order equation second order linear separatrix series solution sersol sin(x singular solution curves solution of Airy's solve specified stable string symbolic expression syms Taylor polynomial Theorem trajectories unstable variable vector field Workspace X Window System xlabel zero