Solving an ordinary differential equation, given the "answer", show how to get there

(See attached file for full problem description and complete equations) --- 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 ---

Differential equations question

Please show all steps with some explanation. Thanks! Problem 2: Using uniqueness theorem, what can you conclude about the solution to the equation with the given inital conditions? dy/dt = f(y) y1(t) = 4 for all t is a solution y2(t) = 2 for all t is a solution y3(t) = 0 for all t is a solution inital condition y(0) = 1

Differential Equations Test Review

I have completed problem 4 through b. Also, it can't be seen, but I have completed a on problem 7. I do need however help on the rest to prepare for my exam. For this to benefit me I will need the work and answers. (See attached file for full problem description)

Differential Equations Problems

(See attached file for full problem description) I have most of this completed, there is only a couple of spots where I need some help. I need: (c) on #4 (c), (d) and check (b) on #6 (e) on #7 For this to help me with the test coming up I will need all work and answers, Thank you.

Use Maple to solve this exercise:

(See attached file for full problem description) --- Use Maple to solve this exercise: Consider the following (IVP) logistic model p' = 10p(1-p) with p(0)=0.1 1. Solve this IVP and graph the solution over the interval [0, 10], Write down the Euler approximation, and Improved Euler approximation with step size h. 2. Compute and plot the first 100 points of the Euler method for h=0.1, 0.18, 0.23, 0.25, 0.26, 0.28, and 0.3. Discuss your findings. 3. Beginning at h=0.18, compute the values of the first 200 Euler approximations and record the next 30 values. Increase h by 0.001 and repeat this process until h=0.30. Plot the diagram and compare with #2. 4. Redo #3 but use the Improved... click for more