Consider the given equation
\(=\left(\frac{2 + \text{sin x}}{\text{1 + y}}\right)\frac{\text{dy}}{\text{dx}}=-\text{cos x}\)
![](https://www.sarthaks.com/?qa=blob&qa_blobid=11206750604532537169)
Integrating both sides,
![](https://www.sarthaks.com/?qa=blob&qa_blobid=17841164873610661430)
![](https://www.sarthaks.com/?qa=blob&qa_blobid=10993267148578945624)
Substituting the value of C in eq (1), we get
![](https://www.sarthaks.com/?qa=blob&qa_blobid=3722024019209504822)
Now, find the value of y(π/2)
Substituting the value of x = \(\frac{\pi}{2}\) in equation (2)
![](https://www.sarthaks.com/?qa=blob&qa_blobid=3131631356421983852)