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Beliebt Rechnen >

y^{'''}-7y^{''}+12y^'=0

Lösung

y^{^{'''}} - 7 y^{^{''}} + 12 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{3 t} + c_{3} e^{4 t}

Schritte zur Lösung

y^{'''} (t) - 7 y^{''} (t) + 12 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{3 t} + c_{3} e^{4 t}

y = c_{1} + c_{2} e^{3 t} + c_{3} e^{4 t}

Graph

Beliebte Beispiele

(d^2x)/(dt^2)-4(dx)/(dt)+5x=0

\frac{d ^{2} x}{d t ^{2}} - 4 \frac{d x}{d t} + 5 x = 0

y^{''}-4y^'+5y=0,y^1(0)=e^xcos(2x)

y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y^{1} (0) = e^{x} cos (2 x)

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

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

linear y^{'''}-3y^{''}-5y^'+39y=0

l in e a r y^{^{'''}} - 3 y^{^{''}} - 5 y^{^{'}} + 39 y = 0

y^{^{''}} + 29.4 y = 0