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MTH-201 | Ordinary Differential Equations

F.Y.B.Sc. | Sem II | Mathematics

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F.Y.B.Sc. | Sem II | MTH-201
Ordinary Differential Equations

We feel great pleasure in bringing out this books. The book has been written according to revised syllabus of KBC North Maharashtra University, Jalgaon for F.Y.B.Sc. Mathematics, MTH – 201 – Ordinary Differential Equations which is implemented form June 2022 (CBCS Pattern).
Each topic has been written in a very simple and lucid language to enable the students to understand the subject thoroughly. There are many worked examples with detailed steps. The problems in the exercises have been complied taking into consideration the academic background of students. We hope that the text will be equally appreciated by the students and the teachers.

Unit 1 Differential Equations of First Order and First Degree
1.1 Partial derivatives
1.2 Exact Differential Equations
1.3 Integrating Factors
1.3.1 Rule I
1.3.2 Rule II
1.3.3 Rule III
1.3.4 Rule IV
1.4 Linear Differential Equation
1.5 Bernoulli’s Equation
1.6 Equations Reducible to Linear Equations by Substitution

Unit 2 Differential Equations of First Order and Higher Degree
2.1 Equations Solvable for p
2.2 Equations Solvable for y
2.3 Equations solvable for x
2.4 Clairaut’s Equation
2.5 Equation reducible to clairaut’s form

Unit 3 Linear Differential Equations with Constant Coefficients
3.1 Linear Differential Equations with constant coefficients
3.2 Complementary Function (C.F.)
3.3 Particular Integrals (P.I.)

Unit 4 Homogeneous Linear Differential Equations
4.1 Homogeneous Linear Equations
4.2 Equations Reducible to Homogeneous Linear Form


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