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Week
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Topics
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Study Metarials
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1
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Definition of differential equation and classification of differential equations, make up of solutions and differential equations
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R1- Section 1.1, Section 1.2
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2
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Initial and boundary value problems, Mathematical models
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R1- Section 1.3
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3
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First order differential equations, linear equations, separable equations
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R1- Section 2.2, Section 2.3
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4
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Homogeneous equations, reducible to homogeneous differential equation, exact differential equations
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R1- Section 2.1, Section 2.2
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5
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Exact differential equations
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R1- Section 2.1
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6
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Linear, Bernoulli and Riccati differential equations
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R1- Section 2.3
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7
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Substitution, Existence and uniqueness theorems
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R1- Section 2.4, Section 4.1
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8
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Differential equations that are not solvable by derivative, Clairaut and Lagrange equations
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R1- Section 2.4
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9
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Theory of linear differential equations, characteristic equation, fundamental solutions, linear independence and Wronskian
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R1- Section 4.2
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10
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Complex roots and repeated roots, reduction of order
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R1-Section 4.3
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11
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Solutions of higher order linear homogeneous equations with constant coefficiens
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R1- Section 4.4
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12
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Higher order nonhomogeneous equations, method of undetermined coefficients
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R1- Section 4.4
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13
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The method of variation of parameters
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R1- Section 4.5
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14
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Cauchy-Euler equation
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R1- Section 4.6
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