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Beliebt Rechnen >

9y^{''}+4y^'-y=22

Lösung

9 y^{^{''}} + 4 y^{^{'}} - y = 22

Lösung

y = c_{1} e^{\frac{( - 2 + 13 ) t}{9}} + c_{2} e^{- \frac{( 2 + 13 ) t}{9}} - 22

Schritte zur Lösung

9 y^{''} (t) + 4 y^{'} (t) - y = 22

Solve linear ODE:

y = c_{1} e^{\frac{( - 2 + 13 ) t}{9}} + c_{2} e^{- \frac{( 2 + 13 ) t}{9}} - 22

y = c_{1} e^{\frac{( - 2 + 13 ) t}{9}} + c_{2} e^{- \frac{( 2 + 13 ) t}{9}} - 22

Graph

Beliebte Beispiele

x^{''}+4x=12*cos(t)

x^{^{''}} + 4 x = 12 \cdot cos (t)

(D^3-2D^2-5D+6)y=e^{4x}

(D^{3} - 2 D^{2} - 5 D + 6) y = e^{4 x}

10y^{''}+20y^'+6260y=100

10 y^{^{''}} + 20 y^{^{'}} + 6260 y = 100

y^{''}+2y^'-8y=24e^{2t}

y^{^{''}} + 2 y^{^{'}} - 8 y = 24 e^{2 t}

(d^2y)/(dx^2)-5(dy)/(dx)+6y=x^3+x

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = x^{3} + x