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Beliebt Rechnen >

ay^{''}+by^'+c=0

Lösung

a y^{^{''}} + b y^{^{'}} + c = 0

Lösung

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

Schritte zur Lösung

a y^{''} (t) + b y^{'} (t) + c = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'=(e^x)/((1+e^x))

y^{^{''}} - y^{^{'}} = \frac{e ^{x}}{( 1 + e ^{x} )}

y^{''}+2y^'+y=te^t

y^{^{''}} + 2 y^{^{'}} + y = t e^{t}

y^{''}-y^'+y=10sin(t)

y^{^{''}} - y^{^{'}} + y = 10 sin (t)

1/4 y^{''}+y^'+y=x^2+2x

\frac{1}{4} y^{^{''}} + y^{^{'}} + y = x^{2} + 2 x

linear y^{''}+2y^'+y=e^{-t}ln(t)

l in e a r y^{^{''}} + 2 y^{^{'}} + y = e^{- t} ln (t)