y is the integral of dy/dx. I assume that all your y's should be lower case.
You have a differential equation that can be solved by separation of variables.
Integral of dy/[3y(10-y)] = x
Do the integral and you will have an equation for x in terms of y. There will be an arbitrary constant in the answer, unless you integrate between specific limits and know an initial condition.
Right now my class is working on exponential growth and decay. I know that i have to find the integral of both sides and solve for Y but I don't know how to do so exactly.
Here's the problem:
if dy/dx=3Y(10-Y)
integrate to solve for Y
1 answer
1 answer