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Beliebt Rechnen >

y^{''}-6y^'+9y=x+1

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = x + 1

Lösung

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + \frac{x}{9} + \frac{5}{27}

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 9 y = x + 1

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + \frac{x}{9} + \frac{5}{27}

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + \frac{x}{9} + \frac{5}{27}

Graph

Beliebte Beispiele

7y^{''}=5y-3/2 x^2,y(0)=0,y^'(2)=0

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

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

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

(d^2y)/(dx^2)-4(dy)/(dx)+3y=e^{4x}

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 3 y = e^{4 x}

(d^2y)/(dx^2)+y=3e^{-5x}

\frac{d ^{2} y}{d x ^{2}} + y = 3 e^{- 5 x}

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

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