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Beliebt Rechnen >

y^{''}-5y^'+6y=24

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = 24

Lösung

y = c_{1} e^{3 t} + c_{2} e^{2 t} + 4

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) + 6 y = 24

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{2 t} + 4

y = c_{1} e^{3 t} + c_{2} e^{2 t} + 4

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-5(dy)/(dx)+4y=4

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 4 y = 4

y^{''}+9y=18(sec(3x))^3

y^{^{''}} + 9 y = 18 (sec (3 x))^{3}

3y^{''}+192.08y=48.02cos(8t)

3 y^{^{''}} + 192.08 y = 48.02 cos (8 t)

y^{''}-2y^'-24y=16-(x+2)e^{4x}

y^{^{''}} - 2 y^{^{'}} - 24 y = 16 - (x + 2) e^{4 x}

y^{''}-7y^'+12y=x

y^{^{''}} - 7 y^{^{'}} + 12 y = x