Let $y=y(x)$ be the solution curve of the differential equation $ \frac{d y}{d x}+\left(\frac{2 x^{2}+11 x+13}{x^{3}+6 x^{2}+11 x+6}\right) y=\frac{(x+3)}{x+1}, x>-1$, which passes through the point $(0,1)$. Then $y(1)$ is equal to : - DASH

Your AI-Powered Personal Tutor

Question

Let $y=y(x)$ be the solution curve of the differential equation $ \frac{d y}{d x}+\left(\frac{2 x^{2}+11 x+13}{x^{3}+6 x^{2}+11 x+6}\right) y=\frac{(x+3)}{x+1}, x>-1$, which passes through the point $(0,1)$. Then $y(1)$ is equal to :

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{5}{2}$

$\frac{7}{2}$

Solution

Please login to view the detailed solution steps...

Go to DASH