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Unformatted text preview: Review for First Midterm of Math 0290 February 13, 2008 Solving differential equations: 1. Separable equations. 2. First order linear equation: Integrating factor, variation of parameter or undetermined coefficients. 3. Second order linear homogeneous equation with constant coefficients: Method of characteristic equation. 4. Second order linear inhomogeneous equation with constant coefficients: Method of undetermined coefficients or variation of parameters. Differential equation models: 1. Newton’s law of cooling. 2. Population model: Malthusian model and logistic model. 3. Linear motion with air resistance. 4. Mixing problem. 5. Continuous model in finance. 6. LRC circuit. 7. Spring mass system. Examples: 1. Find the general solution to y = ( x 2 + 1 )( y 2 + 1 ) . 2. Find the general solution to ( x 2 + 1 ) y + 6 xy- 2 x = 0 . 3. Solve the initial value problem y + 2 y = sin(3 t ) , y (0) = 1 ....
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- Spring '08
- general solution