Presentation on bernoulli

1. PRESENTATION ON
Bernoulli’s Equation

2. BY
SYED AHMED ZAKI
ID:131-15-2169

3. ABOUT BERNOULLI
Bernoulli family consists of mathematicians.
Jacob Bernoulli
Johann Bernoulli
Daniel Bernoulli
Jacob and Johann’s Father is Nicolaus Bernoulli
And Daniel is the son of Johann’s Bernoulli.They all were from
Switzerland.Jacob,Johann and Daniel were great
mathematicians but there egotic nature made them away from
each other.Their family bonding was not so good.

4. ABOUT JACOB BERNOULLI
Born in Basel, Switzerland 1654 and died in 1705
He is a philosopher by academic degree but was a
great mathematician by nature.
He was a great traveller also.
His differential equation first published in May 1690
in a paper named “Acta Eruditorum”
Leibnitz made the substitution method for
Bernoulli's equation at 1696

5. EQUATION
- - - - - - - - - - eqn 1
This equation is true when n≠ 0 or n ≠ 1 but for any real number. If n=0 or
n=1 we have linear equation.
Bernoulli’s differential equation is solved by leibnitz and that is
[ (1-n )xeqn 1]

6. EXAMPLE