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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- \frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( 1 + 5 ) t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- \frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( 1 + 5 ) t}{2}}

y = c_{1} e^{- \frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( 1 + 5 ) t}{2}}

Graph

Beliebte Beispiele

5/6 y^{''}+10y^'+60y=0,y(0)=0,y^'(0)=0

\frac{5}{6} y^{^{''}} + 10 y^{^{'}} + 60 y = 0, y (0) = 0, y^{^{'}} (0) = 0

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

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 6 y = 0

- y^{^{''}} + 9 y = 0

25x^{''}+50x^'+169x=0,x(0)=2,x^'(0)=6

25 x^{^{''}} + 50 x^{^{'}} + 169 x = 0, x (0) = 2, x^{^{'}} (0) = 6

y^{''}+2y=0,y(pi)=0,y(0)=1

y^{^{''}} + 2 y = 0, y (π) = 0, y (0) = 1