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Beliebt Rechnen >

4((d^2y)/(dx^2))+4((dy)/(dx))+y=0

Lösung

4 (\frac{d ^{2} y}{d x ^{2}}) + 4 (\frac{d y}{d x}) + y = 0

Lösung

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

Schritte zur Lösung

4 (\frac{d ^{2} y}{d x ^{2}}) + 4 (\frac{d y}{d x}) + y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

2500y^{''}+81y=0

2500 y^{^{''}} + 81 y = 0

y^{''}+5y^'-24y=0,y(0)=x,y^'(0)=56

y^{^{''}} + 5 y^{^{'}} - 24 y = 0, y (0) = x, y^{^{'}} (0) = 56

y^{''}-9y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - 9 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

(d^2y)/(dt^2)+4y=0

\frac{d ^{2} y}{d t ^{2}} + 4 y = 0

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

l in e a r \frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 0