Solving Integral Equation: x(t) = -8?

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brusier
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Homework Statement



I integrated dx/dt = x^2+(1/81)

Homework Equations



My result; 9(arctan(9x))= t+C needed to be solved for initial condition x(0)=-8
and fit into x(t) = format

The Attempt at a Solution



I cannot figure out why the computer is not accepting my solution:
arctan (9x)= (t-14.012)/9
 
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Wouldn't that be:

[tex]x(t)=\frac{(tan(\frac{t-14.012}{9}))}{9}[/tex]