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Beliebt Rechnen >

y^{''}+5y^'=x+2

Lösung

y^{^{''}} + 5 y^{^{'}} = x + 2

Lösung

y = c_{1} + c_{2} e^{- 5 x} + \frac{x ^{2}}{10} + \frac{9 x}{25}

Schritte zur Lösung

y^{''} (x) + 5 y^{'} (x) = x + 2

Solve linear ODE:

y = c_{1} + c_{2} e^{- 5 x} + \frac{x ^{2}}{10} + \frac{9 x}{25}

y = c_{1} + c_{2} e^{- 5 x} + \frac{x ^{2}}{10} + \frac{9 x}{25}

Graph

Beliebte Beispiele

y^{''}+5y+4y=5e^{-5x},y(0)=-2,y^'(0)=2

y^{^{''}} + 5 y + 4 y = 5 e^{- 5 x}, y (0) = - 2, y^{^{'}} (0) = 2

y^{''}-y=9.5cos(t)

y^{^{''}} - y = 9.5 cos (t)

y^{''}+2y^'+y=e^tln(t)

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

y^{^{''}} + 9 y^{^{'}} = 5 t

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

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