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Beliebt Rechnen >

(d^2y)/(dx^2)-(dy)/(dx)=x^2

Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} = x^{2}

Lösung

y = c_{1} e^{x} + c_{2} - \frac{x ^{3}}{3} - x^{2} - 2 x

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} = x^{2}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} - \frac{x ^{3}}{3} - x^{2} - 2 x

y = c_{1} e^{x} + c_{2} - \frac{x ^{3}}{3} - x^{2} - 2 x

Graph

Beliebte Beispiele

y^{''}+4y^'+4y=(e^{-2x})/(x^2+1)

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

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

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

y^{''}-16y=e^{4x}

y^{^{''}} - 16 y = e^{4 x}

y^{'''}-2y^{''}-y^'+2y=e^{8t}

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(d^2y)/(dx^2)-k(dy)/(dx)=xe^x

\frac{d ^{2} y}{d x ^{2}} - k \frac{d y}{d x} = x e^{x}