DSolve keeps running

Question

I am trying to execute the following code.

g = 1
a = 1.4 + 4.4*x/Pi
V = Integrate[r a, x] 
DSolve[
  (V Sin[x] + H Cos[x]) y'[x] + y[x] (a r x Cos[x] + (g a r - H ) Sin[x]) == 
    g a Sin[x] (a^2/12 + r^2), 
  y[x], x]

DSolve in the above code keeps running indefinitely. Kindly help.

No. I developed the differential equation and now trying to find a closed form solution. With g=1 and a=CONSTANT it forms a exact differential equation for which I have extracted the solution. But for 'a' as above it keeps running indefinitely. — Pranav Suresh, Oct 12 '17 at 14:24

score 5 · Answer 1 · answered Oct 12 '17 at 14:37

Looks like Integrate is hanging. If you don't care about unevaluated integrals, you could use withTimedIntegrate.

g = 1;
a = 7/5 + 22/5*x/Pi;
V = Integrate[r a, x];

withTimedIntegrate[
  DSolveValue[(V Sin[x] + H Cos[x]) y'[x] + y[x] (a r x Cos[x] + (g a r - H) Sin[x]) == g a Sin[x] (a^2/12 + r^2), y[x], x], 
  1
] // TraditionalForm

DSolve keeps running

1 Answers1

Linked