The document discusses the history of linear differential equations, beginning from the foundations laid by ancient Greek mathematicians to the developments made by pioneers such as Newton and Leibniz in the 17th century. It highlights significant advancements in the 18th century by figures like Euler and Clairaut, who introduced key techniques for solving differential equations. Contributions from Daniel Bernoulli and Pierre-Simon Laplace are also noted, particularly Laplace's work in both ordinary and partial differential equations.

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