Calculust-2
Calculus
Level
5
Solve the differential equation:\[\dfrac{dy}{dx} = \dfrac{\tan y}{x+1}+(1+x)e^{x}\sec y \] Given that \(y(-0.5) = \sin^{-1}\left(\frac{1}{2}e^{-0.5}\right)\), what is \(y(0)?\)
Details and Assumptions:
\( y \in \text{[} 0, \frac{\pi}{2} \text{]} \)
Give your answer up to \(2\) decimal places.
by
Rudraksh Shukla