UNIT 1:
Divergence and Curl of a vector field
Solenoidal and Irrotational of a vector
Solenoidal and Irrotational of a vector
Divergence and Curl of a vector field
UNIT 2:
Higher order linear differential equations with constant coefficients
Higher order linear differential equations with constant coefficients
Method of variation of parameters
Method of variation of parameters
Euler’s Linear differential equation
Euler’s Linear differential equation
Legendre’s linear differential equations
Legendre’s linear differential equations
first order linear differential equations with constant coefficients.
UNIT 3:
Formation of partial differential equations
Solution of standard types of first order partial differential equations
Solution of standard types of first order partial differential equations
Solution 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).
Linear partial differential equations of second order with constant coefficients (Homogeneous Problems).
UNIT 4:
Sine and Cosine transforms
Sine and Cosine transforms
UNIT 5:
Transforms of derivatives and integrals
Definition, properties, existence conditions
Transforms of elementary functions
Transforms of derivatives and integrals
Initial and final value theorem
Application to solution of linear second order ordinary differential equations with constant coefficients
