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Beliebt Rechnen >

(4D^4-45D^2-70D-24)y=0

Lösung

(4 D^{4} - 45 D^{2} - 70 D - 24) y = 0

Lösung

y = c_{1} e^{- 2 x} + c_{2} e^{4 x} + c_{3} e^{- \frac{x}{2}} + c_{4} e^{- \frac{3 x}{2}}

Schritte zur Lösung

(4 D^{4} - 45 D^{2} - 70 D - 24) y = 0

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} e^{4 x} + c_{3} e^{- \frac{x}{2}} + c_{4} e^{- \frac{3 x}{2}}

y = c_{1} e^{- 2 x} + c_{2} e^{4 x} + c_{3} e^{- \frac{x}{2}} + c_{4} e^{- \frac{3 x}{2}}

Graph

Beliebte Beispiele

10(d^2y)/(dx^2)+20(dy)/(dx)+10y=0

10 \frac{d ^{2} y}{d x ^{2}} + 20 \frac{d y}{d x} + 10 y = 0

y^{''}+4y^'+3y=0,y(0)=6,y^'(0)=2

y^{^{''}} + 4 y^{^{'}} + 3 y = 0, y (0) = 6, y^{^{'}} (0) = 2

x^{^{''}} + 5 x^{^{'}} = 0

(d^2y)/(dx^2)-cy=0

\frac{d ^{2} y}{d x ^{2}} - cy = 0

(d^2y)/(dx^2)+49y=0

\frac{d ^{2} y}{d x ^{2}} + 49 y = 0