anonymous
  • anonymous
Solve for y using separation of variables dy/dx= (1+y^2)e^x
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Get all the terms involving x on one side, and all the terms involving y on the other: (1/(1+ y^2)) dy = e^x dx Integrate both sides: arctan(y) = e^x + C take tangent of both sides: y = tan(e^x + C)
anonymous
  • anonymous
yeppers
anonymous
  • anonymous
Thanks!

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