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人気のある微分積分 >

25y^{''}-y=(xex)/5

解

25 y^{^{''}} - y = \frac{x e x}{5}

解

y = c_{1} e^{\frac{x}{5}} + c_{2} e^{- \frac{x}{5}} - \frac{e x ^{2}}{5} - 10 e

解答ステップ

25 y^{''} (x) - y = \frac{x e x}{5}

線形 ODE を解く:

y = c_{1} e^{\frac{x}{5}} + c_{2} e^{- \frac{x}{5}} - \frac{e x ^{2}}{5} - 10 e

y = c_{1} e^{\frac{x}{5}} + c_{2} e^{- \frac{x}{5}} - \frac{e x ^{2}}{5} - 10 e

グラフ

人気の例

y^'+ln(x)y=ln(x)

y^{^{'}} + ln (x) y = ln (x)

derivative of (x-3/(6x-5))

\frac{d}{d x} (\frac{x - 3}{6 x - 5})

limit as x approaches 2 of 1/(sqrt(2-x))

x \to 2 lim (\frac{1}{2 - x})

(\partial)/(\partial y)(e^{-x}cos(y))

\frac{\partial}{\partial y} (e^{- x} cos (y))

勾配 (2,5),(3,1)

s l o p e (2, 5), (3, 1)