3 hours/week Credit: 3
Differential
Equation: Definition. Formation of differential equations. Solution of
first order differential equation by various methods, solutions of differential
equations of first order and higher degree. Solution general linear equation of
second and higher orders with constant co-efficient. Solution of Euler's
homogeneous linear equations. Solution of differential equations is series by
the method of Frobenius. Bessel's functions, Legendre's polynomials and their
properties.
Partial
Differential Equation: Introduction Equations of the linear and
non-linear first order. Standard forms. Linear equations of higher
order-Equations of the second order with variable co-efficient.