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SOLVING LINEAR EQUATION CHEATS
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Thank you for visiting our site! You landed on this page because you entered a search term similar to this: solving linear equation cheats, here's the result:
| Hours |
Topic |
| 4 |
Introduction to Differential Equations
- Definitions and terminology
- Initial-value problems
- Differential equations as mathematical models
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| 8 |
First-Order Differential Equations
- Solution curves without a solution; direction fields, autonomous
first-order differential equations
- Separation of variables
- Linear equations
- Exact equations
- Solutions by substitutions
- Numerical methods; Euler's method, numerical solvers
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| 4 |
Modeling with First-Order Differential Equations
- Linear models; exponential growth and decay, Newton's law of cooling,
mixture problems
- Non-linear models; logistic growth, chemical reactions
- Systems of differential equations; radioactive series, mixtures,
predator-prey models
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| 14 |
Higher-Order Differential Equations
- Linear differential equations; initial-value and boundary-value
problems, homogenous equations, non-homogeneous equations
- Reduction of order
- Homogenous linear equations with constant coefficients
- Undetermined coefficients; supposition approach, annihilator approach
- Variation of parameters
- Cauchy-Euler equation
- Solving systems on linear equations using elimination
- Non-linear differential equations
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| 5 |
Modeling with Higher-Order Differential Equations
- Linear models with initial value problems; spring/mass systems with free
undamped motion, free damped motion, and driven motion
- Linear models with boundary value problems
- Nonlinear models
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| 7 |
Series Solutions of Linear Equations
- Review of power series
- Solutions about ordinary points
- Solutions about singular points
- Special functions; Bessel's Equation, Legendre's Equation
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| 10 |
The Laplace Transform
- Definition of the Laplace transform
- Inverse transforms and transforms of derivatives
- Operational properties of the transform
- The Dirac Delta function
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| 6 |
Systems of Linear First-Order Differential Equations
- Preliminary
theory; supposition principle, independence, general solutions
- Homogenous linear systems; distinct real eigenvalues, repeated eigenvalues,
complex eigenvalues
- Nonhomogeneous linear systems; undetermined coefficients, variation of
parameters
- Matrix exponentials
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| 4 |
Numerical Solutions of Ordinary Differential Equations
- Euler's method
- Improved Euler's method
- Runga-Kutta methods (RK4)
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