Weeks | Topics |
1 |
Basic Concepts: Definition of a differential equation, classifications, solution of a differential equation
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2 |
First order differential equations: Seperable Equations, Homogeneous Equations
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3 |
First order differential equations: Linear Equations
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4 |
First order differential equations: Bernoulli Equation, Exact differential equations
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5 |
First order differential equations: Integrating factor, Ricatti Equation
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6 |
Applications of First-Order Differential Equations: Orthogonal trajectories, Growth and Decay, Cooling, Applications of nonlinear equations
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7 |
First Order and Higher Degree Differential Equations
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8 |
Some Higher-Order Differential Equations
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9 |
Linear Differential Equations of Higher-Order
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10 |
Solutions of Linear Equations
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11 |
Homegeneous Linear Equations
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12 |
The Method of Undetermined Coefficients, The Variation of Parameters Method
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13 |
Cauchy-Euler Differential Equation
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14 |
Applications of Second-Order Differential Equations
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