Bernoulli’s equation system and problem solve.pptx

This slide describe about what is Bernoulli’s equation, who invented this equation. This ppt slide create how to problem and how to solve it problem in defferent way. After all this slide we know about Bernoulli’s equation system.

1. Bernoulli’s equation 191-15-12140

2. If P and Q are only functions of x or constants, then the differential equation of the form 𝑑y/𝑑𝑥+𝑃𝑦= 𝑄𝑦 n ; 𝑛≠0 𝑎𝑛𝑑 𝑛≠1 is called Bernoulli’s equation. What is bernoulli equation ?

3. In mathmatics, an ordinary differential equation of the form 𝑑y/𝑑𝑥+𝑃𝑦= 𝑄𝑦 n ; is called a Bernoulli differential where n is any real number and 𝑛≠0 𝑎𝑛𝑑 𝑛≠1. It is named after Jacob bernoualli who discussed it in 1695. Bernoulli equation are special because they are nonlinear differential equation with none exat solution. A famous special case of the Bernoulli equation is the logistic differential equation. Who invanted bernoulli equation?

4. 1) Example: 1 2 Standerd form of Bernoulli equation and some example.

5. Problem:

6. Introduction : Bernoulli equaton is named after Jacob Bernoulli who discussed it in 1695. Bernoulli equations are special because they are nonlinear differential equations with known exact solutions. A famous special case of the Bernoulli equation is the logistic differential equation. Definition :If P and Q are only fuctions of x or constants.Then the differential equation of the form dy/dx + Py = Qyn n =/= 0 and n=/=1 is called bernoulli's Equation. 191-15-12171

7. Question and answer part

8. Thank you