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Beliebt Rechnen >

(d^2y)/(dx^2)-25*y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 25 \cdot y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 25 \cdot y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

linear x^{''}=-x^'+3x

l in e a r x^{^{''}} = - x^{^{'}} + 3 x

y^{'''}-7y^{''}+14y^'-8y=0

y^{^{'''}} - 7 y^{^{''}} + 14 y^{^{'}} - 8 y = 0

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

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

y^{''}-6y^'+32y=0

y^{^{''}} - 6 y^{^{'}} + 32 y = 0

y^{''}+2y^'-15y=0,y(0)=6,y^'(0)=-6

y^{^{''}} + 2 y^{^{'}} - 15 y = 0, y (0) = 6, y^{^{'}} (0) = - 6