Differential equations are used in many areas of real life including creating software, games, algorithms, modeling natural phenomena, artificial intelligence, networking, and scientific theories and explanations. Some specific applications mentioned are using differential equations to model character velocity in games, understand computer hardware, solve constraint logic programs, describe physical laws, model exponential decay and chemical reactions, and estimate areas like the Bermuda Triangle. Differential equations are an essential tool for describing how the natural world works.

1. WELCOME

2. DIFFERENTIAL EQUATION
IN
REAL LIFE

3. Engineers
Tanjil Hasan ID-161-15-1015
Mehjabin tabassum ID-161-15-1018
Humaira khanam ID-161-15-1002
Rita Rani Roy ID-143-15-158
Mahmudul Hasan ID-161-15-995

4. Differential
Equation
is an equation involving
derivatives of a function
or functions

5. Application
❖Creating Softwares
❖Constraint Logic Programming
❖Creating Games , Aspects of Algorithms
❖Mother Nature
❖Bots
❖Artificial Intelligence
❖Networking
❖In THEORIES & Explanations

6. SOFTWARES
The use of differential equations to understand
computer hardware belongs to applied physics or
electrical engineering.

7. Constraint Logic Programming
A constraint logic program is a
logic that contains constraints
in the body of clauses
Its very nessiciate for many
Terms of Civil Engineering, ME,
DE & Most importantly this
includes differebtial Equations

8. GAMING FEATURES
Differential equation
is used to model the
velocity of a
character.
Differential equations is an
essential tool for
describing t./.he nature of
the physical universe and
naturally also an essential
part of models for
computer graphics and
vision.

9. Aspects of Algorithms
Machine learning- it includes
computer vision. Also involves solving
for certain optimal conditions or
iterating towards a solution with
techniques like gradient descent or
expectation maximization.

10. Mother Nature
Differential equations is an
essential tool for describing the
nature of the physical universe

11. BOTs
PDEs, ODE equation like
this helps to provide
shape and interior and
exterior designs of
machine

12. Artificial Intelligence
MR images demonstrate, thin-plate
spline (TPS),Images generated using
sensitivity encoding (SENSE),Gaussian
kernel smoothed (GKS)

13. NETWORKING
To understand a outcome
of a edge creation model
like preferential attachment
which says that nodes with
probability proportional to
their existing degrees.

14. In THEORIES & Explanations
Newton’s law of cooling
dθ/dt = −k(θ − θs)
where θ = θ(t)
θ = θo at t = 0.

15. In THEORIES & Explanations
Exponential Decay
The rate of decay of a
radioactive substance at a
time t is proportional to
the mass x(t) of the
substance left at that time

16. In THEORIES & Explanations
Physical Laws:
Gauss’s law in
electrostatics, magnetism
& gravity. Continuity
equations- In fluid
dynamics,
electromagnetism,
quantum mechanics,
relativity theory

17. In THEORIES & Explanations
If a temperature is
kept constant, the
velocity of chemical
reaction is proportional
to the product of the
concentration of the
substance which is
reacting

18. In THEORIES & Explanations
The triangle is formed by
imaginary lines connecting
Bermuda, Puerto Rico, and
Miami, Florida. Use a
determinant to estimate the
area of the Bermuda Triangle

19. THANKS
FOR
THE PATIENCE ;)