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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+25y=x+sin(x)

y^{^{''}} + 25 y = x + sin (x)

y^{''}-4y=8e^{3x}

y^{^{''}} - 4 y = 8 e^{3 x}

x^{''}+25x=32cos(3t)

x^{^{''}} + 25 x = 32 cos (3 t)

(d^2y)/(dx^2)+(dy)/(dx)-6y=6

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 6

y^{''}-y=x^2,y(0)=-3,y^'(0)=5

y^{^{''}} - y = x^{2}, y (0) = - 3, y^{^{'}} (0) = 5