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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{2}}

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{2}}

Graph

Beliebte Beispiele

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

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

y^{'''}-3y^{''}+4y^'-12y=0

y^{^{'''}} - 3 y^{^{''}} + 4 y^{^{'}} - 12 y = 0

y^{''}+2y^'+10y=0,y(0)=-2,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 10 y = 0, y (0) = - 2, y^{^{'}} (0) = 0

(d^2)/(dθ^2)(y(θ))+y(θ)=0

\frac{d ^{2}}{d θ ^{2}} (y (θ)) + y (θ) = 0

x^{''}+2x^'+10x=0

x^{^{''}} + 2 x^{^{'}} + 10 x = 0