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Beliebt Rechnen >

(d^4y)/(dx^4)+6(d^2y)/(dx^2)+8y=0

Lösung

\frac{d ^{4} y}{d x ^{4}} + 6 \frac{d ^{2} y}{d x ^{2}} + 8 y = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{4} y}{d x ^{4}} + 6 \frac{d ^{2} y}{d x ^{2}} + 8 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+9y^'-20y=0

y^{^{''}} + 9 y^{^{'}} - 20 y = 0

y^{''}-20y^'+64y=0

y^{^{''}} - 20 y^{^{'}} + 64 y = 0

f^{''}(t)-cf(t)=0

f^{^{''}} (t) - c f (t) = 0

y^{'''}+8y^{''}+25y^'=0

y^{^{'''}} + 8 y^{^{''}} + 25 y^{^{'}} = 0

4y^{''}-2y^'-2y=0,y(0)=3,y^'(0)=1

4 y^{^{''}} - 2 y^{^{'}} - 2 y = 0, y (0) = 3, y^{^{'}} (0) = 1