UNDERSTANDING LINEAR DIFFERENTIAL EQUATIONS.pptx

This about the introduction to the linear diffrentionl equation

1. LINEAR DIFFERENTIAL EQUATIONS E.CHAITHANYA KUMAR 23H51A6713 CSD-A

2. HISTORY The history of linear differential equations is rooted in the evolution of calculus and the exploration of mathematical models describing change. Building on ancient Greek foundations, pioneers like Newton and Leibniz formulated the principles of calculus in the 17th century. This provided initial tools for solving differential equations, though practical methods were limited. In the 18th century, Euler and Clairaut made substantial strides, introducing concepts like integrating factors and devising techniques to solve various differential equation types. Daniel Bernoulli and Pierre-Simon Laplace further advanced the field, with Laplace's contributions extending to both ordinary and partial differential equations, laying groundwork for transformative techniques like the Laplace transform.