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Application of differential equation in real life
Differential equations are used in many areas of real life including creating software, games, artificial intelligence, modeling natural phenomena, and providing theoretical explanations. Some examples given are using differential equations to model character velocity in games, understand computer hardware, solve constraint logic programs, describe physical laws, and model chemical reaction rates. Differential equations are an essential mathematical tool for describing how our world works.
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Application of differential equation in real life
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- 3. Engineers Tanjil Hasan ID-161-15-1015 Mehjabintabassum 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 equationinvolving derivatives of a function or functions
- 5. Application ❖Creating Softwares ❖Constraint LogicProgramming ❖Creating Games , Aspects of Algorithms ❖Mother Nature ❖Bots ❖Artificial Intelligence ❖Networking ❖In THEORIES & Explanations
- 6. SOFTWARES The use ofdifferential equations to understand computer hardware belongs to applied physics or electrical engineering.
- 7. Constraint Logic Programming Aconstraint 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 importabtly this includes differebtial Equations
- 8. GAMING FEATURES Differential equation isused 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 Machinelearning- 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 equationsis an essential tool for describing the nature of the physical universe
- 11. BOTs PDEs, ODE equationlike this helps to provide shape and interior and exterior designs of machine
- 12. Artificial Intelligence MR imagesdemonstrate, thin-plate spline (TPS),Images generated using sensitivity encoding (SENSE),Gaussian kernel smoothed (GKS)
- 13. NETWORKING To understand aoutcome 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
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