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Beliebt Rechnen >

(d^2y)/(dx^2)+(dy)/(dx)=x-1

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

2y^{''}+y=cos(t)

2 y^{^{''}} + y = cos (t)

y^{''}+y=x^2+1,y(0)=4,y(1)=0

y^{^{''}} + y = x^{2} + 1, y (0) = 4, y (1) = 0

y^{''}+y=tan(x),y(0)=0,y^'(0)=1

y^{^{''}} + y = tan (x), y (0) = 0, y^{^{'}} (0) = 1

(d^2y)/(dx^2)-9y=sin(3x)

\frac{d ^{2} y}{d x ^{2}} - 9 y = sin (3 x)