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Beliebt Rechnen >

(d^5+8d^3+16d)y=0

Lösung

(d^{5} + 8 d^{3} + 16 d) y = 0

Lösung

y = c_{1} + c_{2} cos (2 x) + c_{3} sin (2 x) + x (c_{4} cos (2 x) + c_{5} sin (2 x))

Schritte zur Lösung

(d^{5} + 8 d^{3} + 16 d) y = 0

Solve linear ODE:

y = c_{1} + c_{2} cos (2 x) + c_{3} sin (2 x) + x (c_{4} cos (2 x) + c_{5} sin (2 x))

y = c_{1} + c_{2} cos (2 x) + c_{3} sin (2 x) + x (c_{4} cos (2 x) + c_{5} sin (2 x))

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+81x=0

\frac{d ^{2} x}{d t ^{2}} + 81 x = 0

1/4 y^{''}+y^'+4y=0

\frac{1}{4} y^{^{''}} + y^{^{'}} + 4 y = 0

y^{'''}+5y^{''}+3y^'-9y=0

y^{^{'''}} + 5 y^{^{''}} + 3 y^{^{'}} - 9 y = 0

y^{'''}+2y^'-3y=0

y^{^{'''}} + 2 y^{^{'}} - 3 y = 0

15y^{''''}+128y^{''}+25y=0

15 y^{^{''''}} + 128 y^{^{''}} + 25 y = 0