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Beliebt Rechnen >

(d^3y)/(dx^3)-5y=0

Lösung

\frac{d ^{3} y}{d x ^{3}} - 5 y = 0

Lösung

y = c_{1} e^{35 x} + e^{- \frac{3 5 x}{2}} (c_{2} cos (\frac{3 3 5 x}{2}) + c_{3} sin (\frac{3 3 5 x}{2}))

Schritte zur Lösung

\frac{d ^{3} y}{d x ^{3}} - 5 y = 0

Solve linear ODE:

y = c_{1} e^{35 x} + e^{- \frac{3 5 x}{2}} (c_{2} cos (\frac{3 3 5 x}{2}) + c_{3} sin (\frac{3 3 5 x}{2}))

y = c_{1} e^{35 x} + e^{- \frac{3 5 x}{2}} (c_{2} cos (\frac{3 3 5 x}{2}) + c_{3} sin (\frac{3 3 5 x}{2}))

Graph

Beliebte Beispiele

2y^{''}+(a-1)y=0

2 y^{^{''}} + (a - 1) y = 0

(d^2f)/(dx^2)-f(x)=0

\frac{d ^{2} f}{d x ^{2}} - f (x) = 0

D^2(D-3)^2(D^2+2D+5)y=0

D^{2} (D - 3)^{2} (D^{2} + 2 D + 5) y = 0

y^{''}-8y^'+80y=0,y(0)=10,y^'(0)=8

y^{^{''}} - 8 y^{^{'}} + 80 y = 0, y (0) = 10, y^{^{'}} (0) = 8

4y^{'''}-3y^{''}-25y^'-6y=0

4 y^{^{'''}} - 3 y^{^{''}} - 25 y^{^{'}} - 6 y = 0