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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+9y=6*sin(3x)-6*cos(-3x)+36*e^{3x}

y^{^{''}} + 9 y = 6 \cdot sin (3 x) - 6 \cdot cos (- 3 x) + 36 \cdot e^{3 x}

y^{''}+4y+4y=3,e^{-t}y(0)=2

y^{^{''}} + 4 y + 4 y = 3, e^{- t} y (0) = 2

y^{''}+6y^'+8y=-3e^{-t}

y^{^{''}} + 6 y^{^{'}} + 8 y = - 3 e^{- t}

d (x) = x + 8

y^{''}+4y^'+4y=3sin(t)+2e^{2t}

y^{^{''}} + 4 y^{^{'}} + 4 y = 3 sin (t) + 2 e^{2 t}