Purchase Solution

Solving an ODE

Not what you're looking for?

Ask Custom Question

DP/dt = m(a0)[exp(-z1)t] - (z2/z1)P

Solve this differential equation with a = ao at t=0 and a=a at t=t to show that:

P = [mz1(a)] / [z2 - z12] + [mz1(ao) / (z12- z2)](a/ao)^(z2/z12)

Where the last term in this equation is a/ao "raised to the power of" z2/z12
---

Attachments
Purchase this Solution
Solution Summary

An ODE is solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Problem

dP/dt = m(ao¬¬¬)[exp(-z1)t] - (z2/z1)P

Solve this differential equation with a = ao at t=0 and a=a at t=t to show that:

P = [mz1(a)] / [z2 - z12] + [mz1(ao) / (z12- z2)](a/ao)^(z2/z12)

Where the last term in this equation is a/ao¬ "raised to the power of" z2/z12

Solution

I ...

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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.

Multiplying Complex Numbers

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

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

View More Free Quizzes
Related BrainMass Solutions

  • Using substitution to simplify an ODE

    One common technique for solving ODEs is to make a substitution which transforms the problem into a new, simpler ODE in a new variable.

  • solving differential equations

    Use integrating factor to convert the following equation into "exact ODE" form and solve for y. Rearrange the equation:  Then And is a function of x alone, then is an integrating factor.

  • Using the C++ Code to Obtain the Numerical Approx to ODE

    A computer code in C++ to obtain numerical approx to ODE: using Euler's method is the simplest numerical method for approximation solving initial value ODE'S.

  • Introduction to Ordinary Differential Equations

    When solving an ODE, the simplest approach is to group together the x terms and the y terms so that we might integrate "with respect to x" and "with respect to y."

  • Variation of Parameters

    We use variation of parameters to find the general solution to a given inhomogeneous second order linear ODE by first solving the homogeneous equation.

  • Solving the Differential Equation

    39955 Solving the Differential Equation Please give me a step-by-step solution to this attached ODE. x'' + x = d2(t) + u2(t) x(0) = 0 x'(0) = 0 Please see the attached file for the fully formatted problems.

  • First order linear non-homogenous differential equation.

    Use the five steps of the Method of Integrating Factors to find the general solution of each linear ODE (hint: write ODE in normal linear form): y' - 2ty = t y' = sin(t) + y*sin(t) (PLEASE SEE ATTACHMENT FOR COMPLETE PROBLEM) Hi, Here are the

  • How do you solve (x+y)dx - xdy = 0 by separation of variables?

    An ODE is solved in this solution in an attached Word document.

  • Solving Differential Equations

    We integrate on both sides and get -1/(2y^2) = (1/2) t^2 +C When t=0, y(0)=-1, then we have -1/2 = C, or C=-1/2 Then we get the equation -1/y^2 = t^2 - 1 over [-3/4, 3/4], the final solution is y=-1/sqrt(t^2-1) An ODE is solved.

  • Find the steady state solution for ODE

    The solution provides detailed instructions on how to solve the ODE using the elimination method. It includes Excel and Word files for solving and plotting.

View More Related Solutions