Topics Involve Linear & Nonlinear, Homogeneous & Nonhomogeneous Diff. Eqs. |
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0. |
Introduction to Differential Equations |
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1. |
First Order, linear differential equations, integrating factor. |
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2. |
Separable differential equations - growth and decay applications |
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3. |
First Order, Nonlinear Differential Eqs. - types & transformations |
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4. |
Basics of second order, ordinary differential equations , complementary solutions |
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5. |
Particular solutions of nonhomogeneous differential equations |
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6. |
Method of Variation of Parameters |
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7. |
Initial Value, Boundary Value, and Eigenvalue Problems |
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8. |
Fourier Series |
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9. |
Heat Conduction in a Thin Rod |
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10. |
Steady Periodic Vibrations |
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| 11. | 1-D Wave Equation (String Vibrations) |
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12. |
Dirichlet Applications - Heat Conduction in a Plate |
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13. |
Sturm-Liouville Applications |
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