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Beliebt Rechnen >

(d^2y)/(dx^2)-(dy)/(dx)+6x=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} + 6 x = 0

Lösung

y = c_{1} e^{x} + c_{2} + 3 x^{2} + 6 x

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} + 6 x = 0

Solve linear ODE:

y = c_{1} e^{x} + c_{2} + 3 x^{2} + 6 x

y = c_{1} e^{x} + c_{2} + 3 x^{2} + 6 x

Graph

Beliebte Beispiele

y^{''}-4y^'+4y=(1+x)e^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = (1 + x) e^{2 x}

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

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

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

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

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

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

y^{''}+2y^'+y=t^{(-1)}e^{(-t)}

y^{^{''}} + 2 y^{^{'}} + y = t^{(- 1)} e^{(- t)}