1 Separable Equations | MIT 18.03SC Differential Equations, Fall 2011 2 Exploration of the Amplitude and Phase: First Order Applet 3 Lec 1 | MIT 18.03 Differential Equations, Spring 2006 4 Exploration of the Isoclines Applet 5 Direction Fields | MIT 18.03SC Differential Equations, Fall 2011 6 Lec 2 | MIT 18.03 Differential Equations, Spring 2006 7 Exploration of the Euler's Method Applet 8 Euler's Method | MIT 18.03SC Differential Equations, Fall 2011 9 Lec 3 | MIT 18.03 Differential Equations, Spring 2006 10 Linear Equations | MIT 18.03SC Differential Equations, Fall 2011 11 Solutions of First-order Linear Equations | MIT 18.03SC Differential Equations, Fall 2011 12 Lec 6 | MIT 18.03 Differential Equations, Spring 2006 13 Complex Numbers and Euler's Formula | MIT 18.03SC Differential Equations, Fall 2011 14 Lec 8 | MIT 18.03 Differential Equations, Spring 2006 15 Sinusoidal Functions | MIT 18.03SC Differential Equations, Fall 2011 16 Lec 7 | MIT 18.03 Differential Equations, Spring 2006 17 First-order Constant Coefficient Linear ODE's | MIT 18.03SC Differential Equations, Fall 2011 18 Sinusoidal Inputs | MIT 18.03SC Differential Equations, Fall 2011 19 Lec 5 | MIT 18.03 Differential Equations, Spring 2006 20 Exploration of the Phase Lines Applet 21 Lec 9 | MIT 18.03 Differential Equations, Spring 2006 22 Autonomous Equations and Phase Lines | MIT 18.03SC Differential Equations, Fall 2011 23 Homogeneous Constant Coefficient Equations: Any Roots | MIT 18.03SC Differential Equations 24 Homogeneous Constant Coefficient Equations: Real Roots | MIT 18.03SC Differential Equations 25 Lec 10 | MIT 18.03 Differential Equations, Spring 2006 26 Exploration of the Damped Vibrations Applet 27 Damped Harmonic Oscillators | MIT 18.03SC Differential Equations, Fall 2011 28 Lec 11 | MIT 18.03 Differential Equations, Spring 2006 29 Lec 12 | MIT 18.03 Differential Equations, Spring 2006 30 Lec 13 | MIT 18.03 Differential Equations, Spring 2006 31 Forced Oscillations | MIT 18.03SC Differential Equations, Fall 2011 32 Gain and Phase Lag | MIT 18.03SC Differential Equations, Fall 2011 33 Undetermined Coefficients | MIT 18.03SC Differential Equations, Fall 2011 34 Lec 14 | MIT 18.03 Differential Equations, Spring 2006 35 Pure Resonance | MIT 18.03SC Differential Equations, Fall 2011 36 Exploration of the Amplitude and Phase: Second Order II Applet 37 Frequency Response | MIT 18.03SC Differential Equations, Fall 2011 38 Lec 15 | MIT 18.03 Differential Equations, Spring 2006 39 Lec 16 | MIT 18.03 Differential Equations, Spring 2006 40 Computing Fourier Series | MIT 18.03SC Differential Equations, Fall 2011 41 Exploration of the Fourier Coefficient Applet 42 Manipulating Fourier Series | MIT 18.03SC Differential Equations, Fall 2011 43 Lec 17 | MIT 18.03 Differential Equations, Spring 2006 44 Linear ODE's with Periodic Input | MIT 18.03SC Differential Equations, Fall 2011 45 Step and Delta Functions | MIT 18.03SC Differential Equations, Fall 2011 46 Unit Step and Impulse Response | MIT 18.03SC Differential Equations, Fall 2011 47 Lec 21 | MIT 18.03 Differential Equations, Spring 2006 48 Exploration of the Convolution Accumulation Applet 49 Convolution and Green's Formula | MIT 18.03SC Differential Equations, Fall 2011 50 Lec 19 | MIT 18.03 Differential Equations, Spring 2006 51 Lec 20 | MIT 18.03 Differential Equations, Spring 2006 52 Laplace Transform: Basics | MIT 18.03SC Differential Equations, Fall 2011 53 Partial Fractions and Laplace Inverse | MIT 18.03SC Differential Equations, Fall 2011 54 Laplace: Solving ODE's | MIT 18.03SC Differential Equations, Fall 2011 55 Pole Diagrams | MIT 18.03SC Differential Equations, Fall 2011 56 Lec 24 | MIT 18.03 Differential Equations, Spring 2006 57 Linear Systems of Equations | MIT 18.03SC Differential Equations, Fall 2011 58 Lec 25 | MIT 18.03 Differential Equations, Spring 2006 59 Lec 26 | MIT 18.03 Differential Equations, Spring 2006 60 Linear Systems: Complex Roots | MIT 18.03SC Differential Equations, Fall 2011 61 Linear Systems: Matrix Methods | MIT 18.03SC Differential Equations, Fall 2011 62 Lec 27 | MIT 18.03 Differential Equations, Spring 2006 63 Phase Portraits | MIT 18.03SC Differential Equations, Fall 2011 64 Trace-Determinant Diagram | MIT 18.03SC Differential Equations, Fall 2011 65 Lec 28 | MIT 18.03 Differential Equations, Spring 2006 66 Lec 29 | MIT 18.03 Differential Equations, Spring 2006 67 Matrix Exponentials | MIT 18.03SC Differential Equations, Fall 2011 68 Lec 30 | MIT 18.03 Differential Equations, Spring 2006 69 Lec 33 | MIT 18.03 Differential Equations, Spring 2006 70 Lec 31 | MIT 18.03 Differential Equations, Spring 2006 71 Linearization | MIT 18.03SC Differential Equations, Fall 2011 72 Lec 32 | MIT 18.03 Differential Equations, Spring 2006