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Beliebt Rechnen >

y^{''''}-y^{''}=2(4y^{'''})

Lösung

y^{^{''''}} - y^{^{''}} = 2 (4 y^{^{'''}})

Lösung

y = c_{1} e^{(4 + 17) t} + c_{2} e^{(4 - 17) t} + c_{3} + c_{4} t

Schritte zur Lösung

y^{(4)} (t) - y^{''} (t) = 2 (4 y^{'''} (t))

Solve linear ODE:

y = c_{1} e^{(4 + 17) t} + c_{2} e^{(4 - 17) t} + c_{3} + c_{4} t

y = c_{1} e^{(4 + 17) t} + c_{2} e^{(4 - 17) t} + c_{3} + c_{4} t

Graph

Beliebte Beispiele

y^{''}-4y=0,y^'(-1)=1,y(2)=2

y^{^{''}} - 4 y = 0, y^{^{'}} (- 1) = 1, y (2) = 2

y^{'''}+y^{''}+y^'-39y=0

y^{^{'''}} + y^{^{''}} + y^{^{'}} - 39 y = 0

y^{''}+4y+68y=0,y(0)=7

y^{^{''}} + 4 y + 68 y = 0, y (0) = 7

3y^{''}+48y=0,y(0)=4,y^'(0)=8

3 y^{^{''}} + 48 y = 0, y (0) = 4, y^{^{'}} (0) = 8

y^{''''}+4y^{'''}+y^{''}-4y^'-2y=0

y^{^{''''}} + 4 y^{^{'''}} + y^{^{''}} - 4 y^{^{'}} - 2 y = 0