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Beliebt Rechnen >

y^{''}+3y^'-1=0

Lösung

y^{^{''}} + 3 y^{^{'}} - 1 = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) - 1 = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

q^{''}+100q^'+2500q=30,q(0)=0,q(0)=2

q^{^{''}} + 100 q^{^{'}} + 2500 q = 30, q (0) = 0, q (0) = 2

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

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

x^{''}+2.5x^'+50x=1.5cos(t)

x^{^{''}} + 2.5 x^{^{'}} + 50 x = 1.5 cos (t)

y^{''}-4y=1-cos(t),y(0)=0,y^'(0)=0

y^{^{''}} - 4 y = 1 - cos (t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + y = b x