简单的偏微分方程(练习题)

例题

已知微分方程
$$
\frac{\partial^2 u}{\partial x^2}+\frac{\partial^2 u}{\partial y^2}=0
$$
有形如 $u=\varphi(\frac{y}{x})$ 的解,试求此解.

取值范围

题目

函数 $f(x)=\sqrt{2x-x^2}+x$ 的值域为____.


思考ing…


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