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Beliebt Rechnen >

y^{''}+2y^{''}+y=0

Lösung

y^{^{''}} + 2 y^{^{''}} + y = 0

Lösung

y = c_{1} cos (\frac{t}{3}) + c_{2} sin (\frac{t}{3})

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (\frac{t}{3}) + c_{2} sin (\frac{t}{3})

y = c_{1} cos (\frac{t}{3}) + c_{2} sin (\frac{t}{3})

Graph

Beliebte Beispiele

(d^2y)/(dx^2)(1)-(dy)/(dx)(9)=0

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (9) = 0

7y^{''}+34y^'-5y=0

7 y^{^{''}} + 34 y^{^{'}} - 5 y = 0

(D^2-DD+D^2)z=0

(D^{2} - DD + D^{2}) z = 0

9y^{''}+12y^'+4y=0,y^'(0)=-1

9 y^{^{''}} + 12 y^{^{'}} + 4 y = 0, y^{^{'}} (0) = - 1

y^{''}-5y^'=0,y(0)=7-7e^5,y(1)=0

y^{^{''}} - 5 y^{^{'}} = 0, y (0) = 7 - 7 e^{5}, y (1) = 0