Week 1
Day 1 : Introduction to Differential Equations.
Day 2 : Solutions of Differential Equations.
Day 3 : Solving Differential Equations by Variable Separable Method
Week 2
Day 1 : Equations Reducible to Reparable form – Substitution Method -Part 1
Day 2 : Equations Reducible To Separable Form – Substitution Method – Part 2
Day 3 : Reducible To Separable Form - Homogeneous Equation.
Week 3
Day 1 : Equations Reducible To Separable Form Via Reducing To Homogeneous Form
Day 2 : Exact Differential Equation- Part I
Day 3 : Exact Differential Equation- Part II
Week 4
Day 1 : Differential Equation : Integrating Factors
Day 2 : Linear First Order Differential Equations – Part 1
Day 3 : Linear First Order Differential Equations – Part 2
Week 5
Day 1 : Linear First Order Differential Equations – Part 3
Day 2 : Solving Linear Differential Equations By Method Of Variation Of Paremeters.
Day 3 : Bernoulli’s Differential Equation – Part 1
Week 6
Day 1 : Bernoulli’s Differential Equation – Part 2
Day 2 : Second Order Differential Equations.
Day 3 : Fundamental theorem.
Week 7
Day 1 : General Solution and Basis
Day 2 : Initial value Problem and Boundary Value Problem.
Day 3 : Second Order Differential Equations with Constant Coefficients – Part I.
Week 8
Day 1 : Second Order Differential Equations with Constant Coefficients – Part II.
Day 2 : Second Order Differential Equations with Constant Coefficients – Part III.
Day 3 : Differential Operator
Week 9
Day 1 : Euler - Cauchy Equation – Part I
Day 2 : Euler - Cauchy Equation – Part II
Day 3 : Euler - Cauchy Equation – Part III
Week 10
Day 1 : Existence and Uniqueness Theory: Wronskian.
Day 2 : Non Homogeneous Equations – Part I
Day 3 : Method of Undetermined Coefficients– Part I
Week 11
Day 1 : Method of Undetermined Coefficients– Part II
Day 2 : Method of Undetermined Coefficients– Part III
Day 3 : Method of Undetermined Coefficients– Part IV
Week 12
Day 1 : Method of Undetermined Coefficients– Part V
Day 2 : Method of Undetermined Coefficients– Part VI
Day 3 : Method of Variation of Parameters– Part I
Week 13
Day 1 : Method of Variation of Parameters– Part II
Day 2 : Method of Variation of Parameters: Euler – Cauchy Equation.
Day 3 : Applications of Differential Equations – Part I.
Week 14
Day 1 : Applications of Differential Equations – Part I
Day 2 : Interaction based on the entire Modules covered.
Day 3 : Revision
Day 4 : Revision
Day 5 : Term end assessment
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