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Course Description
Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.
Lectures
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1. Separable differential equations 2
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2. Exact Equations Intuition 1 (proofy)
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3. Exact Equations Intuition 2 (proofy)
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4. First order homegenous equations
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5. First order homogenous equations 2
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6. Repeated roots of the characteristic equation
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7. Repeated roots of the characterisitic equations part 2
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8. Laplace Transform 1
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9. Laplace Transform 2
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10. Laplace Transform 3 (L{sin(at)})
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11. Laplace Transform 4
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12. Laplace Transform 5
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13. Laplace Transform 6
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14. More Laplace Transform tools
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15. Using the Laplace Transform to solve a nonhomogenous eq
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16. Laplace Transform of : L{t}
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17. Laplace Transform of t^n: L{t^n}
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18. Laplace Transform of the Unit Step Function
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19. Laplace/Step Function Differential Equation
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20. Laplace Transform of the Dirac Delta Function
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21. The Convolution and the Laplace Transform
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22. Using the Convolution Theorem to Solve an Initial Value Prob
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