Question7. The largest interval in which a solution of the IVP $$y^{\prime}+(\ln t) y=\tan t, \quad y\left(\frac{\pi}{4}\right)=1$$ is certain to exist is (a) $\left(0, \frac{\pi}{2}\right)$ (b) $(0, \pi)$ (c) $(0,1)$. (d) $(1, \infty)$

Studdy Solution
Compare the identified interval with the given options:
The identified interval $\left(0, \frac{\pi}{2}\right)$ matches option (a).
The largest interval in which a solution of the IVP is certain to exist is $\boxed{\left(0, \frac{\pi}{2}\right)}$.