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Beliebt Rechnen >

y^{'''}+y^{''}-1=0

Lösung

y^{^{'''}} + y^{^{''}} - 1 = 0

Lösung

y = c_{1} e^{- t} + c_{2} + c_{3} t + \frac{t ^{2}}{2}

Schritte zur Lösung

y^{'''} (t) + y^{''} (t) - 1 = 0

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} + c_{3} t + \frac{t ^{2}}{2}

y = c_{1} e^{- t} + c_{2} + c_{3} t + \frac{t ^{2}}{2}

Graph

Beliebte Beispiele

y^{''}+y^'=t,y(0)=1,y^'(0)=2

y^{^{''}} + y^{^{'}} = t, y (0) = 1, y^{^{'}} (0) = 2

y^{''''}+2y^{''}+y=5+cos(4t)

y^{^{''''}} + 2 y^{^{''}} + y = 5 + cos (4 t)

4 y^{^{''}} - 16 y = 1

(d^2y)/(dx^2)+y=e^x,y(0)=0,y^'(0)=0

\frac{d ^{2} y}{d x ^{2}} + y = e^{x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+y=t,y(0)=1,y^'(0)=-2

y^{^{''}} + y = t, y (0) = 1, y^{^{'}} (0) = - 2