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Beliebt Rechnen >

y^{''}+4y^'+3y=1,y^'(0)=1

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 1, y^{^{'}} (0) = 1

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 3 y = 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}-3y^'+2y=4e^{2t},y(0)=-3,y^'(0)=5

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 e^{2 t}, y (0) = - 3, y^{^{'}} (0) = 5

y^{^{''}} + 4 y = e^{t}

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

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

(d^2y)/(dx^2)-16(dy)/(dx)+16y=16(x-1)

\frac{d ^{2} y}{d x ^{2}} - 16 \frac{d y}{d x} + 16 y = 16 (x - 1)