- #1
awelex
- 44
- 0
Hi,
I have a differential equation that I just can't seem to solve. Now here's the deal: I'm sure there are advanced methods that would easily solve this equation, but the equation is in the chapter on First-Oder Linear Equations, so it shouldn't be anything fancy. There's even a hint: it says that "the roles of the independent and dependent variables may be reversed." What is that supposed to mean?
I tried getting the solution with Mathematica first, and then working backwards, but to no avail. I don't even know where to start.
Here's the equation:
dy/dx = 1/(e^(4y) + 2x)
Any pointers? Thanks!
I have a differential equation that I just can't seem to solve. Now here's the deal: I'm sure there are advanced methods that would easily solve this equation, but the equation is in the chapter on First-Oder Linear Equations, so it shouldn't be anything fancy. There's even a hint: it says that "the roles of the independent and dependent variables may be reversed." What is that supposed to mean?
I tried getting the solution with Mathematica first, and then working backwards, but to no avail. I don't even know where to start.
Here's the equation:
dy/dx = 1/(e^(4y) + 2x)
Any pointers? Thanks!