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Beliebt Rechnen >

y^{''}-2y^'+2y=0,y(0)=0,y^'(0)=7

Lösung

y^{^{''}} - 2 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 7

Lösung

y = 7 e^{t} sin (t)

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + 2 y = 0

Solve linear ODE:

y = 7 e^{t} sin (t)

y = 7 e^{t} sin (t)

Graph

Beliebte Beispiele

100y^{''}+80y^'+65y=0

100 y^{^{''}} + 80 y^{^{'}} + 65 y = 0

y^{^{''}} + y = y^{^{'}}

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

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

(d^2y)/(dx^2)-6(dy)/(dx)+9y=0,y(0)=0

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y = 0, y (0) = 0

y^{''}-6y^'+12y=0,y(0)=0,y^'(0)=-7

y^{^{''}} - 6 y^{^{'}} + 12 y = 0, y (0) = 0, y^{^{'}} (0) = - 7