Engineering Mathematics-II
2FY2-01 · Semester 2
0/38 topics
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
Orthogonal transformations
Linear differential equations
Bernoulli's differential equations
Exact differential equations
Equations solvable for p
Equations solvable for y
Equations solvable for x
Clairaut's equation
Higher-order linear differential equations with constant coefficients
Simultaneous linear differential equations
Second-order linear differential equations with variable coefficients
Homogeneous and exact forms of differential equations
Method of known complementary function (one part of CF known)
Change of dependent and independent variables
Method of variation of parameters
Cauchy-Euler equation
Power series solutions
Legendre differential equation
Bessel differential equations
Order and degree of partial differential equations
Formation of partial differential equations
Linear first-order partial differential equations
Lagrange's form
Non-linear first-order partial differential equations
Charpit's method
Standard forms of non-linear PDEs
Classification of second-order partial differential equations
Separation of variables method in Cartesian coordinates
Two-dimensional Laplace equation
One-dimensional Heat equation
One-dimensional Wave equation