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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + x - 1

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + x - 1

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + x - 1

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=sin(2x)+x

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