DSolve
 Usage
• DSolve[eqn, y, x]用来求解非独立变量x的函数y的一个微分方程.
• DSolve[eqn, y,   ,  , ...  ] 用来求解一个偏微分方程.
Notes
• DSolve[eqn, y[x], x]给出解y[x]而不是函数y本身. • 例如: DSolve[y'[x]  2 a x, y[x], x]  . • 微分方程必须根据通过D得到的导数如 y'[x] 给出，而不能根据通过Dt得到的全导数给出. • DSolve生成通过连续整数索引的积分常数.可选项DSolveConstants指定应用到每一个索引的函数.缺省设置DSolveConstants->C得到综合常数 C[1], C[2], ... . • DSolveConstants->(Module[{C}, C]&)保证积分常数是唯一的,甚至不管对DSolve的各种调用. • 对于偏微分方程, DSolve 生成任意函数 C[n][... ]. • 边界条件可以通过给出方程如 y'[0] b指定. • 由DSolve给出的解有时会包含不能明确通过 Integrate实现的积分. 具有局部名称的哑元变量被使用到这样的积分中. • DSolve 有时会根据Solve给出隐式解. • DSolve能求解任意阶的常系数线性微分方程. 它也能求解许多二阶非常系数线性方程. • DSolve包含处理一大类非线性微分方程的一般过程，这些微分方程在标准参考书如 Kamke 中给出. • DSolve能够找到线性和弱线性偏微分方程的通解. 真实的非线性偏微分方程通常不给出通解.
 Further Examples
Here is the solution to a first-order differential equation.
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This gives the solution using C[1] and C[2] as the constants of integration.
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This solves two simultaneous differential equations.
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You can add constraints and boundary conditions for differential equations by explicitly giving additional equations such as y[0] 5 as in this example.
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This solves a first-order differential equation, specifying that the integration constant is K.
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