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Beliebt Rechnen >

y^{''}+y^'=0,y(0)=-1,y^'(0)=-5

Lösung

y^{^{''}} + y^{^{'}} = 0, y (0) = - 1, y^{^{'}} (0) = - 5

Lösung

y = 5 e^{- t} - 6

Schritte zur Lösung

y^{''} (t) + y^{'} (t) = 0

Solve linear ODE:

y = 5 e^{- t} - 6

y = 5 e^{- t} - 6

Graph

Beliebte Beispiele

y^{''}-5y^'+y=0

y^{^{''}} - 5 y^{^{'}} + y = 0

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

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

x^{''}+16x=0,x(0)=0,x^'(0)=5

x^{^{''}} + 16 x = 0, x (0) = 0, x^{^{'}} (0) = 5

y^{''}+12y^'+36y=0,y(0)=3,y^'(0)=0

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y (0) = 3, y^{^{'}} (0) = 0

{(d^2y)/(dx^2)+4(dy)/(dx)+20y}^2=0

{\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y}^{2} = 0