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Beliebt Rechnen >

2y^{'''}-y^{''}-y=0

Lösung

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

Lösung

y = c_{1} e^{t} + e^{- \frac{t}{4}} (c_{2} cos (\frac{7 t}{4}) + c_{3} sin (\frac{7 t}{4}))

Schritte zur Lösung

2 y^{'''} (t) - y^{''} (t) - y = 0

Solve linear ODE:

y = c_{1} e^{t} + e^{- \frac{t}{4}} (c_{2} cos (\frac{7 t}{4}) + c_{3} sin (\frac{7 t}{4}))

y = c_{1} e^{t} + e^{- \frac{t}{4}} (c_{2} cos (\frac{7 t}{4}) + c_{3} sin (\frac{7 t}{4}))

Graph

Beliebte Beispiele

y^{''}-y=0,y(0)=e^x

y^{^{''}} - y = 0, y (0) = e^{x}

y^{''}-10y^'+25y=0,y(0)=e^{5x}

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = e^{5 x}

-4y^{''}+y^'=0,y(0)=1,y(1)=0

- 4 y^{^{''}} + y^{^{'}} = 0, y (0) = 1, y (1) = 0

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

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

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

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