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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} + \frac{- x ^{2} - x}{4} - \frac{1}{5} sin (x) + \frac{2}{5} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} + \frac{- x ^{2} - x}{4} - \frac{1}{5} sin (x) + \frac{2}{5} cos (x)

y = c_{1} e^{2 x} + c_{2} + \frac{- x ^{2} - x}{4} - \frac{1}{5} sin (x) + \frac{2}{5} cos (x)

Graph

Beliebte Beispiele

y^{''}-4y^'+4y=3e^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = 3 e^{2 x}

y^{^{''}} + y^{^{'}} = 7

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

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

y^{^{''}} + y^{^{'}} = 4 x

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