UNIT 1:
UNIT 2:
Transforms of simple functions
Solution of pde by Fourier Transforms(Content beyond Syllabus)
Sine and Cosine transforms
Sine and Cosine transforms
UNIT 3:
Formation of partial differential equations
Lagrange’s linear equation
Lagrange’s linear equation
Solutions of standard types of first order partial differential equations
Solutions of standard types of first order partial differential equations
Solutions of standard types of first order partial differential equations
Solutions of standard types of first order partial differential equations
Solutions of standard types of first order partial differential equations
Linear partial differential equations of second order with constant coefficients(Homogeneous Problems)
UNIT 4:
Solutions of one dimensional wave equation
Solutions of one dimensional wave equation
Solutions of one dimensional wave equation
One dimensional equation of heat conduction
One dimensional equation of heat conduction
One dimensional equation of heat conduction
Steady state solution of two-dimensional equation of heat conduction(Insulated edges excluded)
Steady state solution of two-dimensional equation of heat conduction(Insulated edges excluded)
One dimensional equation of heat conduction
UNIT 5:
Formation of difference equations
Formation of partial differential equations
Solution of difference equations using Z-transform