Laplace Transform | As per NEP, B.Sc Third year Mathematics Handwritten Notes also Useful and IIT JAM, CSIR NET and GATE PDF Download

Description

These notes are purely based on BSC and B.Tech.

These are useful for IIT JAM, CSIR NET and GATE and Examinations where pure Mathematics is asked. these are Descriptive notes I myself used these notes for Examination preparation and SCORED A+ Marks in Institute Examinations.
B.Sc. Third year Mathematics | As per NEP Handwritten Notes PDF

Chapters and Topics Included on PDF

Module-I – Laplace Transform:

• Linearity property
• Existence theorem
• Shifting theorem
• Change of scale property
• Laplace transforms of derivatives and integrals
• Differentiation and integration of the Laplace transforms
• Multiplication and division by ‘t’
• Periodic function

Module-II – Inverse Laplace Transform:

• Linearity property
• Shifting theorem
• Change of scale property
• Inverse Laplace transforms of derivatives and integrals
• Multiplication and division by powers of p
• Convolution theorem
• Heaviside expansion theorem

Module – III – Application of Laplace Transform:

• Solution of ordinary differential equations with constant coefficients
• Solution of ordinary differential equations with variable coefficients