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人気のある微分積分 >

y^{''}+y=2+x^2

解

y^{^{''}} + y = 2 + x^{2}

解

y = c_{1} cos (x) + c_{2} sin (x) + x^{2}

解答ステップ

y^{''} (x) + y = 2 + x^{2}

線形 ODE を解く:

y = c_{1} cos (x) + c_{2} sin (x) + x^{2}

y = c_{1} cos (x) + c_{2} sin (x) + x^{2}

グラフ

人気の例

derivative of 6^4x^3+x^5-180sqrt(4x^2)

\frac{d}{d x} (6^{4} x^{3} + x^{5} - 180 4 x^{2})

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\frac{d}{d x} (\frac{- e ^{- x} x - e ^{- x}}{x ^{2}})

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\int_{- 7}^{7} (1 + 49 - x^{2}) d x

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\frac{d y}{d x} = \frac{x ^{2} + 2 y ^{2}}{x y}

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t an g e n t f (x) = \frac{1}{( x - 5 )}, at x = - 3