9. differential equations — ગણિત ધોરણ 12 સાયન્સ — Question

$\Rightarrow \frac{1}{y+3} d y=d x$

$\Rightarrow \ln |(y+3)|=x+k,$ where $\mathrm{k}$ is a constant of

integration

$\Rightarrow(y+3)=c e^{x}$

Initially when $x=0, y=2$

$\Rightarrow c=5$

Finally the required solution is $y+3=5 c^{x}$

$\Rightarrow y(\ln 2)=5 c^{\ln 2}-3-10-3=7$