A continuously differentiable function \[\phi \,(x)\],\[x\in [0,\pi ]-\left\{ \frac{\pi }{2} \right\}\] satisfying \[y'=1+{{y}^{2}},y(0)=0=y(\pi )\] is

A continuously differentiable function \[\phi \,(x)\],\[x\in [0,\pi ]-

1.	A continuously differentiable function \[\phi \,(x)\],\[x\in [0,\pi ]-\left\{ \frac{\pi }{2} \right\}\] satisfying \[y'=1+{{y}^{2}},y(0)=0=y(\pi )\] is
A.	\[\tan x\]
B.	\[x(x-\pi )\]
C.	\[(x-\pi )(1-{{e}^{x}})\]
D.	\[{{\sec }^{2}}x\]
Answer» B. \[x(x-\pi )\]

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A continuously differentiable function \[\phi \,(x)\],\[x\in [0,\pi ]-\left\{ \frac{\pi }{2} \right\}\] satisfying \[y'=1+{{y}^{2}},y(0)=0=y(\pi )\] is

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