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Beliebt Rechnen >

36(d^2y)/(dx^2)+12(dy)/(dx)+y=0

Lösung

36 \frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x} + y = 0

Lösung

y = c_{1} e^{- \frac{x}{6}} + c_{2} e^{- \frac{x}{6}} x

Schritte zur Lösung

36 \frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x} + y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{x}{6}} + c_{2} e^{- \frac{x}{6}} x

y = c_{1} e^{- \frac{x}{6}} + c_{2} e^{- \frac{x}{6}} x

Graph

Beliebte Beispiele

y^{''}+6y^'+8y=0,y(0)=-1,y^'(0)=2

y^{^{''}} + 6 y^{^{'}} + 8 y = 0, y (0) = - 1, y^{^{'}} (0) = 2

y^{''}-4y+13y=0

y^{^{''}} - 4 y + 13 y = 0

y^{''}-10y^'+25y=0,y(0)=2,y^'(0)=4

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 2, y^{^{'}} (0) = 4

y^{^{''}} - α y = 0

25y^{''}+80y^'+64y=0,y^'(0)=5

25 y^{^{''}} + 80 y^{^{'}} + 64 y = 0, y^{^{'}} (0) = 5