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Beliebt Rechnen >

(d^4y)/(dt^4)-y=0

Lösung

\frac{d ^{4} y}{d t ^{4}} - y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{4} y}{d t ^{4}} - y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}+36y=0,y(pi/6)=1,y^'(pi/6)=-2

y^{^{''}} + 36 y = 0, y (\frac{π}{6}) = 1, y^{^{'}} (\frac{π}{6}) = - 2

y^{'''}-y^{''}-24y^'-36y=0

y^{^{'''}} - y^{^{''}} - 24 y^{^{'}} - 36 y = 0

(d^2y)/(dx^2)+225y=0

\frac{d ^{2} y}{d x ^{2}} + 225 y = 0

y^{'''}-8y=0,y(0)=1,y^'(0)=-1,y^{''}(0)=0

y^{^{'''}} - 8 y = 0, y (0) = 1, y^{^{'}} (0) = - 1, y^{^{''}} (0) = 0