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Beliebt Rechnen >

(d^2y)/(dt^2)-5(dy)/(dt)+6=0

Lösung

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} + 6 = 0

Lösung

y = c_{1} e^{5 t} + c_{2} + \frac{6 t}{5}

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} + 6 = 0

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} + \frac{6 t}{5}

y = c_{1} e^{5 t} + c_{2} + \frac{6 t}{5}

Graph

Beliebte Beispiele

-5y^{''}-2y^'+24=0

- 5 y^{^{''}} - 2 y^{^{'}} + 24 = 0

linear 1/4 y^{''}+4y=tan(4t)-1/3 e^{3t}

l in e a r \frac{1}{4} y^{^{''}} + 4 y = tan (4 t) - \frac{1}{3} e^{3 t}

2y^{'''}-2y^'=-3t^2-4t

2 y^{^{'''}} - 2 y^{^{'}} = - 3 t^{2} - 4 t

y^{'''}-2y^{''}+y^'=3t^2-18

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = 3 t^{2} - 18

y^{''}+8y^'+2y=cos(x),y(0)=0

y^{^{''}} + 8 y^{^{'}} + 2 y = cos (x), y (0) = 0