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Home » Basic and Health Sciences » Mathematics » Differential Equations (Spring 2010) (M-I-T) » Lecture 6: Complex Numbers and Complex Exponentials (M-I-T)

Lecture 6: Complex Numbers and Complex Exponentials (M-I-T)

Course:Differential Equations (Spring 2010) (M-I-T)
Discipline:Basic and Health Sciences
Institute:MIT
Instructor(s): Prof. Haynes Miller, and Prof. Arthur Mattuck
Level:Undergraduate

Differential Equations (Spring 2010) (M-I-T)

Lecture 10: Continuation: Complex Characteristic Roots (M-I-T)
Lecture 11: Theory of General Second-order Linear Homogeneous ODEs (M-I-T)
Lecture 12: Continuation: General Theory for Inhomogeneous ODEs (M-I-T)
Lecture 13: Finding Particular Solutions to Inhomogeneous ODEs (M-I-T)
Lecture 14: Interpretation of the Exceptional Case: Resonance (M-I-T)
Lecture 15: Introduction to Fourier Series (M-I-T)
Lecture 16: Continuation: More General Periods (M-I-T)
Lecture 17: Finding Particular Solutions via Fourier Series (M-I-T)
Lecture 19: Introduction to the Laplace Transform (M-I-T)
Lecture 1: The Geometrical View of y'= f(x,y) (M-I-T)
Lecture 3: Solving First-order Linear ODEs (M-I-T)
Lecture 20: Derivative Formulas (M-I-T)
Lecture 4: First-order Substitution Methods (M-I-T)
Lecture 21: Convolution Formula (M-I-T)
Lecture 5: First-order Autonomous ODEs (M-I-T)
Lecture 6: Complex Numbers and Complex Exponentials (M-I-T)
Lecture 22: Using Laplace Transform to Solve ODEs with Discontinuous Inputs (M-I-T)
Lecture 23: Use with Impulse Inputs (M-I-T)
Lecture 7: First-order Linear with Constant Coefficients (M-I-T)
Lecture 24: Introduction to First-order Systems of ODEs (M-I-T)

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