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Beliebt Rechnen >

(d^2y)/(dt^2)+2(dy)/(dt)-15y=0

Lösung

\frac{d ^{2} y}{d t ^{2}} + 2 \frac{d y}{d t} - 15 y = 0

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- 5 t}

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} + 2 \frac{d y}{d t} - 15 y = 0

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- 5 t}

y = c_{1} e^{3 t} + c_{2} e^{- 5 t}

Graph

Beliebte Beispiele

(4+8x)y^{''}-8y+(4-8x)y=0

(4 + 8 x) y^{^{''}} - 8 y + (4 - 8 x) y = 0

y^{^{''}} - 4 y - 4 y = 0

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

y^{''}+4y^'+20y=0,y(0)=2,y^'(0)=-8

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (0) = 2, y^{^{'}} (0) = - 8

(y^{''}-6y^'+9y)^3=0

(y^{^{''}} - 6 y^{^{'}} + 9 y)^{3} = 0