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Beliebt Rechnen >

y^{''}+16.2y^'=0

Lösung

y^{^{''}} + 16.2 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- \frac{81 t}{5}}

Schritte zur Lösung

y^{''} (t) + 16.2 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{81 t}{5}}

y = c_{1} + c_{2} e^{- \frac{81 t}{5}}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-3(dy)/(dx)+4y=0

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 4 y = 0

y^{''}+10y^'+24y=0,y(0)=0,y^'(0)=-5

y^{^{''}} + 10 y^{^{'}} + 24 y = 0, y (0) = 0, y^{^{'}} (0) = - 5

y^{'''}+9y^{''}+8y^'=0

y^{^{'''}} + 9 y^{^{''}} + 8 y^{^{'}} = 0

y^{''}-y^'+cy=0

y^{^{''}} - y^{^{'}} + cy = 0

4y^{''}-28y^'+49y=0

4 y^{^{''}} - 28 y^{^{'}} + 49 y = 0