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Beliebt Rechnen >

4x^{''}+3x^'+5x=0

Lösung

4 x^{^{''}} + 3 x^{^{'}} + 5 x = 0

Lösung

x = e^{- \frac{3 t}{8}} (c_{1} cos (\frac{71 t}{8}) + c_{2} sin (\frac{71 t}{8}))

Schritte zur Lösung

4 x^{''} (t) + 3 x^{'} (t) + 5 x = 0

Solve linear ODE:

x = e^{- \frac{3 t}{8}} (c_{1} cos (\frac{71 t}{8}) + c_{2} sin (\frac{71 t}{8}))

x = e^{- \frac{3 t}{8}} (c_{1} cos (\frac{71 t}{8}) + c_{2} sin (\frac{71 t}{8}))

Graph

Beliebte Beispiele

y^{''}+64y=0,y^'(0)=0

y^{^{''}} + 64 y = 0, y^{^{'}} (0) = 0

x^{''}+2^2*3^2x=0

x^{^{''}} + 2^{2} \cdot 3^{2} x = 0

y^{'''}-y^{''}-12y^'-40y=0,y(0)=e^{5x}

y^{^{'''}} - y^{^{''}} - 12 y^{^{'}} - 40 y = 0, y (0) = e^{5 x}

x^{'''}+x^{''}-2x=0

x^{^{'''}} + x^{^{''}} - 2 x = 0

x^{''}+7x^'+16x=0

x^{^{''}} + 7 x^{^{'}} + 16 x = 0