Answer to Question #233777 in Differential Equations for Phyroehan

Question

Find the general/particular solution of the following Differential Equations

(Exact D.E)

1.) ds/dt=(s²Sin t)/(2 Cos t)

Answer 1

$\frac{ds}{dt}=\frac{s^2sint}{2cost}\\ 2\frac{ds}{s^2}=tant\space dt\\ \text{Integrating both side,}\\ -2s^{-1}=ln|sect|+c\\ \text{This is required general solution.}$