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Beliebt Rechnen >

y^{''}-2y^'-3y=3

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 3

Lösung

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

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = 3

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+4y^{''}+5y^'+2y=10cos(t)

y^{^{'''}} + 4 y^{^{''}} + 5 y^{^{'}} + 2 y = 10 cos (t)

(D^3-D^2+D-1)y=4sin(x)

(D^{3} - D^{2} + D - 1) y = 4 sin (x)

y^{''}-2y^'-8y=18te^{4t}

y^{^{''}} - 2 y^{^{'}} - 8 y = 18 t e^{4 t}

y^{^{''}} - 4 y = 8 x^{2}

x^{''}-4x^'+3x=(e^t)/(1+e^t)

x^{^{''}} - 4 x^{^{'}} + 3 x = \frac{e ^{t}}{1 + e ^{t}}