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Beliebt Rechnen >

24y^{''}+14y^'-5y=0

Lösung

24 y^{^{''}} + 14 y^{^{'}} - 5 y = 0

Lösung

y = c_{1} e^{\frac{t}{4}} + c_{2} e^{- \frac{5 t}{6}}

Schritte zur Lösung

24 y^{''} (t) + 14 y^{'} (t) - 5 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{4}} + c_{2} e^{- \frac{5 t}{6}}

y = c_{1} e^{\frac{t}{4}} + c_{2} e^{- \frac{5 t}{6}}

Graph

Beliebte Beispiele

4y^{''}+24y^'+37y=0,y(pi)=1,y^'(pi)=0

4 y^{^{''}} + 24 y^{^{'}} + 37 y = 0, y (π) = 1, y^{^{'}} (π) = 0

y^{''''}-8y^{''}+16y=0

y^{^{''''}} - 8 y^{^{''}} + 16 y = 0

(d^2x)/(dt^2)+6(dx)/(dt)+3x=0

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 3 x = 0

(d^6-4d^4+4d^2)y=0

(d^{6} - 4 d^{4} + 4 d^{2}) y = 0

linear y^{''}+2y^'+y=0

l in e a r y^{^{''}} + 2 y^{^{'}} + y = 0