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Beliebt Rechnen >

y^{''''}+24y^{''}=0

Lösung

y^{^{''''}} + 24 y^{^{''}} = 0

Lösung

y = c_{1} + c_{2} t + c_{3} cos (26 t) + c_{4} sin (26 t)

Schritte zur Lösung

y^{(4)} (t) + 24 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} t + c_{3} cos (26 t) + c_{4} sin (26 t)

y = c_{1} + c_{2} t + c_{3} cos (26 t) + c_{4} sin (26 t)

Graph

Beliebte Beispiele

4y^{''}-5y^'+y=0,y(0)=4

4 y^{^{''}} - 5 y^{^{'}} + y = 0, y (0) = 4

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

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

a^2*(d^2y)/(dx^2)+a*(dy)/(dx)-c*y=0

a^{2} \cdot \frac{d ^{2} y}{d x ^{2}} + a \cdot \frac{d y}{d x} - c \cdot y = 0

y^{''''}+8y^{''}-4y^{'''}-16y^'+16y=0

y^{^{''''}} + 8 y^{^{''}} - 4 y^{^{'''}} - 16 y^{^{'}} + 16 y = 0

10y^{''}+30y^'+20y=0

10 y^{^{''}} + 30 y^{^{'}} + 20 y = 0