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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + \frac{4 t}{3} - \frac{14}{9}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + \frac{4 t}{3} - \frac{14}{9}

y = c_{1} e^{3 t} + c_{2} e^{- t} - t^{2} + \frac{4 t}{3} - \frac{14}{9}

Graph

Beliebte Beispiele

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

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

y^{''}+y=16cos(t),y(0)=0,y^'(0)=0

y^{^{''}} + y = 16 cos (t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 9 y = 2 x - 5

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

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

x^{''}+16x=144,x(0)=5,x^'(0)=12

x^{^{''}} + 16 x = 144, x (0) = 5, x^{^{'}} (0) = 12