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By Genius Publications

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Rs. 290



Book Details

  • 978-93-83644-76-6
  • English
  • 2019
  • Paper Back
  • 500


  • Contents of the Subject
    Unit 1. Matrices: Rank of a matrix, rank-nullity theorem; System of linear equations;
    Symmetric, skew-symmetric and orthogonal matrices; Eigenvalues and
    eigenvectors; Diagonalization of matrices; Cayley-Hamilton Theorem, and
    Orthogonal transformation.
    Unit 2. First order ordinary differential equations: Linear and Bernoulli’s equations,
    Exact equations, Equations not of first degree: equations solvable for p,
    equations solvable for y, equations solvable for x and Clairaut’s type.
    Unit 3. Ordinary differential equations of higher orders: Linear Differential
    Equations of Higher order with constant coefficients, Simultaneous Linear
    Differential Equations, Second order linear differential equations with variable
    coefficients: Homogenous and Exact forms, one part of CF is known, Change
    of dependent and independent variables, method of variation of parameters,
    Cauchy- Euler equation; Power series solutions including Legendre differential
    equation and Bessel differential equations.
    Unit 4. Partial Differential Equations – First order: Order and Degree, Formation;
    Linear Partial differential equations of First order, Lagrange’s Form, Non
    Linear Partial Differential equations of first order, Charpit’s method, Standard
    Unit 5. Partial Differential Equations– Higher order: Classification of Second order
    partial differential equations, Separation of variables method to simple problems
    in Cartesian coordinates including two dimensional Laplace, one dimensional
    Heat and one dimensional Wave equations.