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微分方程計算器

解微分方程

此計算器將嘗試求解給定的常微分方程（ODE）：一階、二階、n 階、可分離、線性、恰當、伯努利、齊次或非齊次。

亦支援初始條件。

Enter an equation (and, optionally, the initial conditions):
For example, y''(x)+25y(x)=0, y(0)=1, y'(0)=2.
Write `y'(x)` instead of `(dy)/(dx)`, `y''(x)` instead of `(d^2y)/(dx^2)`, etc.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Your input: solve $$$2 x y{\left(x \right)} + y ' \left(x \right) = x$$$

Answer

$$$y{\left(x \right)} = C_{1} e^{- x^{2}} + \frac{1}{2}$$$


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