Alright, using the separation method I got:
x/dx = (3 - 2y )/dy
Integrate both sides:
x2/2 + C = 3y - y2
Now I'm just not sure how to get it in a form that would allow me to figure out the interval and transient terms.
Homework Statement
Find the general solution of the given differential equation. Give the largest interval over which the general solution is defined. Determine whether there are any transient terms in the general solution.
Homework Equations
x(dy/dx) + 2y = 3
The Attempt at a...
Actually I just forgot to do it in the step I multiplied k out.
It should be:
Take a look at what I added, does that seem right? I'm still confused on how to accomplish #2
Homework Statement
S is the balance of a savings account
W is the amount withdrawn per year.
k is a rate percentage of continuous interest per year
1. Solve the differential Equation above.
2. Draw a phase portrait and assess the solution's stability.
3. Assume you have $1,000,000 for...