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Beliebt Rechnen >

(d^2y)/(dx^2)+ay^'-b=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + a y^{^{'}} - b = 0

Lösung

y = c_{1} + c_{2} e^{- a x} + \frac{b x}{a}

Schritte zur Lösung

y^{''} (x) + a y^{'} (x) - b = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- a x} + \frac{b x}{a}

y = c_{1} + c_{2} e^{- a x} + \frac{b x}{a}

Graph

Beliebte Beispiele

linear y^{''}+y^'-6y=2x

l in e a r y^{^{''}} + y^{^{'}} - 6 y = 2 x

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

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

y^{''}+4y^'+5y=50x+13e^{3x}

y^{^{''}} + 4 y^{^{'}} + 5 y = 50 x + 13 e^{3 x}

y^{''}+2y^'+y=(e^{-x})/(x^2)

y^{^{''}} + 2 y^{^{'}} + y = \frac{e ^{- x}}{x ^{2}}

y^{''}+2y^'+y=e^{2x}

y^{^{''}} + 2 y^{^{'}} + y = e^{2 x}