(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find an implicit and explicit solution for the given initial-value problem

[tex]\frac{dx}{dt}=4(x^2+1)[/tex] for [tex]x(\frac{\pi}{4})=1[/tex]

[tex]\frac{dx}{dt}=4(x^2+1)[/tex]

[tex]\Rightarrow \frac{dx}{x^2+1}=4dt[/tex]

[tex]\Rightarrow \tan^{-1}x+C=4t[/tex]

Now I am a little stuck. Usually I just plug in my values. I am thinking of taking the tan of both sides, eh?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Separation of Variables

**Physics Forums | Science Articles, Homework Help, Discussion**