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Beliebt Rechnen >

2(d^2y)/(dx^2)+8(dy)/(dx)-y=0

Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} - y = 0

Lösung

y = c_{1} e^{\frac{( - 4 + 3 2 ) x}{2}} + c_{2} e^{- \frac{( 4 + 3 2 ) x}{2}}

Schritte zur Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} - y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 4 + 3 2 ) x}{2}} + c_{2} e^{- \frac{( 4 + 3 2 ) x}{2}}

y = c_{1} e^{\frac{( - 4 + 3 2 ) x}{2}} + c_{2} e^{- \frac{( 4 + 3 2 ) x}{2}}

Graph

Beliebte Beispiele

y^{''}+10y^'+8/3 y=0

y^{^{''}} + 10 y^{^{'}} + \frac{8}{3} y = 0

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

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

15y^{''}-4y^'-3y=0

15 y^{^{''}} - 4 y^{^{'}} - 3 y = 0

2y^{''}+3y^'+3y=0

2 y^{^{''}} + 3 y^{^{'}} + 3 y = 0

y^{'''}-8y^{''}+16y^'=0

y^{^{'''}} - 8 y^{^{''}} + 16 y^{^{'}} = 0