Bernoulli's equation differential equations example

This calculus video tutorial provides a basic introduction into solving bernoulli's equation as it relates to differential equations. You need to write the

Bernoulli Equation

In this video tutorial provides the basic introduction of solving a differential equation in the form of Bernoulli's equation of first order first degree. Wr
Our customers say
Do math problem
Do math question Solve mathematic equations Algebra

Bernoulli differential equations

Bernoulli equation: dy dx + y x = y3 with P(x) = 1 x,Q(x) = 1,n = 3 DIVIDE by yn i.e. y3: 1 y3 dy dx + 1 x y βˆ’2 = 1 SET z = y1 βˆ’n i.e. z = yβˆ’2: dz dx = βˆ’2y 3 dy dx i.e. βˆ’1 2 dz dx = 1 y3 dy dx ∴ βˆ’ 1 2 dz
`
Explain math questions
Solution of Bernoullis Equations

Example 1: Solve. dy dx + x 5 y = x 5 y 7. It is a Bernoulli equation with P (x)=x 5, Q (x)=x 5, and n=7, let's try the substitution: u = y 1βˆ’n. u = y -6. In terms of y that is: y = u (βˆ’1 6) Differentiate y with respect to x: dy dx = βˆ’1 6 u (βˆ’7 6) du dx.

Determine math question

Math is a way of determining the relationships between numbers, shapes, and other mathematical objects.

Explain math

Looking for the most useful homework solution? Check out our website for the best tips and tricks.

Figure out mathematic equations

No matter what subject you need help with, our Instant Professional Tutoring service can connect you with a tutor in minutes.

Bernoulli Differential Equations Examples 1

The most common example of Bernoulli’s principle is that of a fluid flowing through a horizontal pipe, which narrows in the middle and then opens up again. This is easy to

Determine mathematic questions

I can determine mathematic questions.

Instant Professional Tutoring

One way to think about math problems is to consider them as puzzles. To solve a math problem, you need to figure out what information you have.

Work on the task that is attractive to you

You can build a bright future by taking advantage of opportunities and planning for success.

24/7 help

Math is a way of solving problems by using numbers and equations.

MATHEMATICA TUTORIAL, Part 1.2: Bernoulli Equations

dy dx + 2xy = x2y2 To solve the differential equation, let v = y1 - n where n is the exponent of y2. v = y - 1 Solve the equation for y. y = v - 1 Take the derivative of y with respect to x. yβ€² = v - 1 Take

  • Get the Most useful Homework solution
  • Build bright future aspects
  • Deal with mathematic question
  • Explain math problems
  • Fast answers