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人気のある微分積分 >

5000x^{''}+105324.07x=0

解

5000 x^{^{''}} + 105324.07 x = 0

解

x = c_{1} cos (\frac{10532407 t}{125 \cdot 2 ^{\frac{5}{2}}}) + c_{2} sin (\frac{10532407 t}{125 \cdot 2 ^{\frac{5}{2}}})

解答ステップ

5000 x^{''} (t) + 105324.07 x = 0

線形 ODE を解く:

x = c_{1} cos (\frac{10532407 t}{125 \cdot 2 ^{\frac{5}{2}}}) + c_{2} sin (\frac{10532407 t}{125 \cdot 2 ^{\frac{5}{2}}})

x = c_{1} cos (\frac{10532407 t}{125 \cdot 2 ^{\frac{5}{2}}}) + c_{2} sin (\frac{10532407 t}{125 \cdot 2 ^{\frac{5}{2}}})

グラフ

人気の例

81y^{''}-36y^'+8y=0

81 y^{^{''}} - 36 y^{^{'}} + 8 y = 0

(d^2y)/(dt^2)+3(dy)/(dt)-10y=0

\frac{d ^{2} y}{d t ^{2}} + 3 \frac{d y}{d t} - 10 y = 0

y^{''}+10y^'+34y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 10 y^{^{'}} + 34 y = 0, y (0) = 1, y^{^{'}} (0) = 2

y^{''}-y=0,y(1)=0,y^'(1)=-1

y^{^{''}} - y = 0, y (1) = 0, y^{^{'}} (1) = - 1

x^{''}-26x^'+25x=0,x(0)=-1,x^'(0)=2

x^{^{''}} - 26 x^{^{'}} + 25 x = 0, x (0) = - 1, x^{^{'}} (0) = 2