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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{5 x} + c_{2} - \frac{x ^{3}}{15} + \frac{4 x ^{2}}{25} + \frac{8 x}{125}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} - \frac{x ^{3}}{15} + \frac{4 x ^{2}}{25} + \frac{8 x}{125}

y = c_{1} e^{5 x} + c_{2} - \frac{x ^{3}}{15} + \frac{4 x ^{2}}{25} + \frac{8 x}{125}

Graph

Beliebte Beispiele

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

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

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

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

y^{''}+4y^'=t^2+2e^t

y^{^{''}} + 4 y^{^{'}} = t^{2} + 2 e^{t}

y^{''}+2y^'-15y=(2x+1)e^{3x}+10

y^{^{''}} + 2 y^{^{'}} - 15 y = (2 x + 1) e^{3 x} + 10

y^{''}-y^'-2y=2t^2-5

y^{^{''}} - y^{^{'}} - 2 y = 2 t^{2} - 5