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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- \frac{x}{2}} + 2 x^{2} - 8 x

Schritte zur Lösung

2 y^{''} (x) + y^{'} (x) = 4 x

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{x}{2}} + 2 x^{2} - 8 x

y = c_{1} + c_{2} e^{- \frac{x}{2}} + 2 x^{2} - 8 x

Graph

Beliebte Beispiele

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

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

y^{''}-2y^'-3y=6-3e^{-x}+4cos(3x)

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 - 3 e^{- x} + 4 cos (3 x)

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

y^{''}-8y^'+5y=xe^x

y^{^{''}} - 8 y^{^{'}} + 5 y = x e^{x}

(d^2y)/(dt^2)+3(dy)/(dt)+5y=sin(t)

\frac{d ^{2} y}{d t ^{2}} + 3 \frac{d y}{d t} + 5 y = sin (t)