1. |
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introduction |
some basic maathematical models, solutions of some differential equations |
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first order differtial equations |
some basic maathematical models, solutions of some differential equations |
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2. |
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first order differtial equations |
lienear functions, separable equations |
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first order differtial equations |
lienear functions, separable equations |
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3. |
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first order differtial equations |
mideling with first order equations |
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4. |
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first order differtial equations |
differences between linear and nonlinear equations, first order difference equations |
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second order equations |
homogeneous equations with constant coefficients, solutions of linear homogeneous equations |
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5. |
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second order linear equatios |
reqeated roots |
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second order equations |
variation of parameters |
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6. |
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higher order linear equations |
general theory of n-th order linear equations |
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7. |
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higher order linear equations |
homogeneous equations with constant coefficients |
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higher order linear equations |
the method of undertermined coefficients |
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8. |
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series solutions of second order linear equations |
review of power series |
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9. |
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series solutions of second order linear equations |
review of power series |
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10. |
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series solutions of second order linear equations |
series lolutions near an ordinarly point |
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series solutions of second order linear equations |
series lolutions near an ordinarly point |
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11. |
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series solutions of second order linear equations |
euler equations |
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series solutions of second order linear equations |
euler equations |
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12. |
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laplace transform |
solution of initial value problems |
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laplace transform |
solution of initial value problems |
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13. |
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laplace transform |
solution of initial value problems |
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laplace transform |
solution of initial value problems |
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