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Beliebt Rechnen >

y^{''}+a/b y^'=0

Lösung

y^{^{''}} + \frac{a}{b} y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{- \frac{a t}{b}}

Schritte zur Lösung

y^{''} (t) + \frac{a}{b} y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{a t}{b}}

y = c_{1} + c_{2} e^{- \frac{a t}{b}}

Graph

Beliebte Beispiele

(D^{2} + 3 D) y = 0

y^{''}+6y^'+25y=0,y(0)=6,y^'(0)=-17

y^{^{''}} + 6 y^{^{'}} + 25 y = 0, y (0) = 6, y^{^{'}} (0) = - 17

x^{^{''}} + 36 x = 0

linear (d^2y)/(dx^2)-13(dy)/(dx)+12y=0

l in e a r \frac{d ^{2} y}{d x ^{2}} - 13 \frac{d y}{d x} + 12 y = 0

-2y^{''}-2*pi^2y=0

- 2 y^{^{''}} - 2 \cdot π^{2} y = 0