Site icon Noon Academy

Find the general solution of each of the following differential equations:

contexto.140

Solution:

\begin{array}{l} \text { It is given that: } \frac{d y}{d x}=-\frac{\text { cosxstny }}{\cos y} \\ \Rightarrow \frac{d y}{d x}=-\cos x \tan y \\ \Rightarrow \int \operatorname{coty} d y=-\int \cos x d x \\ \Rightarrow \log |\sin y|=-\sin x+c \end{array}