Ok, so I need to do that for:
dx/dt = 4(x^2 + 1) and x(pi/4) = 1
So,
dx = 4(x^2 + 1) dt
dx/(x^2 + 1) = 4 dt
After integrating both sides:
invtan(x) = 4t + c where invtan is inverse tan
<math happens>
x = tan (4t - 3pi/4)
Can someone fill in the math happens step(s) for me?
Thanks.
dx/dt = 4(x^2 + 1) and x(pi/4) = 1
So,
dx = 4(x^2 + 1) dt
dx/(x^2 + 1) = 4 dt
After integrating both sides:
invtan(x) = 4t + c where invtan is inverse tan
<math happens>
x = tan (4t - 3pi/4)
Can someone fill in the math happens step(s) for me?
Thanks.