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FirstOrder, First Order Nonlinear dy/dt=f(t,y) can sometimes be solved using separation of variables, autonomous DE dy/dt=f(y) can always be solved using separation of variables, Existence and Uniquesness Theorem which tells us that ????, First Order Linear dy/dt +p(t)y=g(t) can sometimes be solved using separation of variables, First Order Linear dy/dt +p(t)y=g(t) some appplications: mixing problems radiocarbon dating Newton's Law of Cooling, First Order Nonlinear dy/dt=f(t,y) can sometimes be solved using exact DE, Existence and Uniquesness Theorem proof is based on Picard's Iteration Method, Existence and Uniquesness Theorem proof is based on integrating factor technique, First Order Nonlinear dy/dt=f(t,y) some appplications: population dynamics fluid flow epidemic modeling, First Order Nonlinear dy/dt=f(t,y) has an Existence and Uniquesness Theorem
