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Beliebt Rechnen >

(d^2y)/(dx^2)+7(dy)/(dx)+10y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 7 \frac{d y}{d x} + 10 y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 7 \frac{d y}{d x} + 10 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

linear y^{''}+8y^'-65y=0

l in e a r y^{^{''}} + 8 y^{^{'}} - 65 y = 0

(d^2x)/(dt^2)+3(dx)/(dt)+7x=0

\frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 7 x = 0

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

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

y^{''}+8y^'+25y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 8 y^{^{'}} + 25 y = 0, y (0) = 1, y^{^{'}} (0) = 2

y^{''}+2y^'+y=0,y(0)=-3,y^'(0)=-2

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = - 3, y^{^{'}} (0) = - 2