Purchase Solution

autonomous differential equations

Not what you're looking for?

Ask Custom Question

A) Check that z(t) = 1 + sqrt(1 + 2t) is a solution of the autonomous differential equation dz/dt = 1/(z-1) with initial condition z(0) =2

b) Estimate z(4) if z obeys the differential equation dz/dt = 1/(z-1) with initial condition z(0) = 2.

Purchase this Solution
Solution Summary

This posting evaluates autonomous differential equations.

Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

View More Free Quizzes
Related BrainMass Solutions

  • Differential Equations

    26879 Differential Equations For each of the following ordinairy differential equations, indicate its order, whether it is linear or nonlinear, and whether it is autonomous or non-autonomous.

  • Phase line sketch

    This provides an example of sketching a phase line for an autonomous differential equation.

  • Differential Equations Problem Set

    520401 Differential Equations Problem Set Consider the differential equation dy/dx = -x/y. a) Sketch a direction field for this differential equation.

  • Proof involving non-autonomous differential equation

    Show by example that this is not true for a non-autonomous differential equation. See the attachment please. Proof involving non-autonomous differential equation is presented.

  • Autonomous differential Equation

    277776 Autonomous differential Equation The rate at which a bacteria population multiplies is proportional to the instantaneous amount of bacteria present at any time.

  • ordinary differential equations

    This solution highlights the difference between ordinary differential equations (ODEs), and partial differential equations, (PDEs).

  • Differential Equations of Exponential Functions

    54447 Differential Equations of Exponential Functions Differential Equation (IX): Formation of Differential Equations by Elimination Eliminate the arbitrary constants from the equation: y = Ae^x + Be^2x + Ce^3x.

  • Solving Differential Equations with given initial conditions

    343044 Solving Differential Equations with given initial conditions Please see attached Please show all work with explanations. Differential Equations 5. Solve the differential equation with the given initial conditions: 6.

  • Differential equations of all parabolas

    54452 Differential equations of all parabolas Differential Equation (XII) Formation of Differential Equations by Elimination Find the differential equations of all parabolas whose

View More Related Solutions