1 |
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Preliminaries. Solutions. Existence-Uniqueness Theorem. Separable Equations. Linear Equations. Homogeneous Equations. |
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2 |
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Exact Equations and Integrating Factors.Substitutions. Approximate solutions (2.6.1 and 2.6.2). Application |
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3 |
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Basic Theory of Higher Order Linear Equations. |
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4 |
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Reduction of Order. Homogeneous Constant Coefficient Equations. |
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5 |
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Undetermined Coefficients. Variation of Parameters. |
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6 |
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The Cauchy-Euler equation. Operator Method. |
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7 |
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Power Series Solutions (ordinary points). |
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8 |
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MID-TERM EXAM |
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9 |
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Power Series Solutions (regular singular points) |
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10 |
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The Laplace Transform. Basic Properties. Convolution. |
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11 |
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Solution of Differential Equations by the Laplace Transform. |
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12 |
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Solutions of Systems of Linear Differential Equations by the Laplace Transform. |
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13 |
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Solutions of Systems of Linear Differential Equations by Elimination: simple elimination and operator method. |
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14 |
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Introduction to Partial Differential Equations |
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15 |
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Introduction to Partial Differential Equations |
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16 |
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FINAL EXAM |
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17 |
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FINAL EXAM |
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