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Beliebt Rechnen >

y^{''}+(1/r)y^'=b

Lösung

y^{^{''}} + (\frac{1}{r}) y^{^{'}} = b

Lösung

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

Schritte zur Lösung

y^{''} (t) + (\frac{1}{r}) y^{'} (t) = b

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-10y^'+61=0

y^{^{''}} - 10 y^{^{'}} + 61 = 0

(d^2x)/(dt^2)+9(dx)/(dt)+8x=2t

\frac{d ^{2} x}{d t ^{2}} + 9 \frac{d x}{d t} + 8 x = 2 t

y^{''}-7y^'+14y=-2e^{3t},y(0)=-6

y^{^{''}} - 7 y^{^{'}} + 14 y = - 2 e^{3 t}, y (0) = - 6

y^{''}-5y^'+6y=xe^{3x}

y^{^{''}} - 5 y^{^{'}} + 6 y = x e^{3 x}

y^{''}+4y=-cos(3x)-2sin(3x)

y^{^{''}} + 4 y = - cos (3 x) - 2 sin (3 x)