UNIT 1:
Formation of 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
Lagrange’s linear equation
Lagrange’s linear equation
Linear partial differential equations of second order with constant coefficients(Homogeneous Problems)
Linear partial differential equations of second order with constant coefficients(Homogeneous Problems)
UNIT 2:
UNIT 3:
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
Steady state solution of two-dimensional equation of heat conduction
UNIT 4:
Statement of Fourier integral theorem
Sine and Cosine transforms
Sine and Cosine transforms
Transforms of simple functions-Rectangular pulse , Triangular pulse
UNIT 5:
Initial and final value theorem
Inverse Z-transform using partial fraction
Formation of difference equations
Formation of difference equations
Solution of difference equations using Z-transform
Solution of difference equations using Z-transform
