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Beliebt Rechnen >

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

Lösung

linear

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

Lösung

y = c_{1} e^{- 2 (2 - 1) x} + c_{2} e^{2 (1 + 2) x} + x^{2} - 4 x + \frac{9}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- 2 (2 - 1) x} + c_{2} e^{2 (1 + 2) x} + x^{2} - 4 x + \frac{9}{2}

y = c_{1} e^{- 2 (2 - 1) x} + c_{2} e^{2 (1 + 2) x} + x^{2} - 4 x + \frac{9}{2}

Graph

Beliebte Beispiele

y^{''}-10y^'+25y=(e^{5x})/(4+x^2)

y^{^{''}} - 10 y^{^{'}} + 25 y = \frac{e ^{5 x}}{4 + x ^{2}}

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

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

(d^2y)/(dx^2)-y=sin(x)+e^{-5x}

\frac{d ^{2} y}{d x ^{2}} - y = sin (x) + e^{- 5 x}

y^{''}-5y^'+6y=2xe^{3x}

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 x e^{3 x}

y^{''}-4y^'+3y=1

y^{^{''}} - 4 y^{^{'}} + 3 y = 1