MCQ
If $f(x)=\left\{\begin{array}{l}k x+1, x \leq \frac{\pi}{2} \\ \sin x, x>\frac{\pi}{2}\end{array} ;\right.$ is continuous at $x=\frac{\pi}{2}$ then, $k=$ ________ .
- A$-\frac{2}{\pi}$
- B$\frac{2}{\pi}$
- C1
- ✓$0$
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$\frac{d y}{d x}=x y-1+x-y ; y(0)=0$