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Beliebt Rechnen >

-2y^{''}+5y^'+10y=0

Lösung

- 2 y^{^{''}} + 5 y^{^{'}} + 10 y = 0

Lösung

y = c_{1} e^{- \frac{( - 5 + 105 ) t}{4}} + c_{2} e^{\frac{( 5 + 105 ) t}{4}}

Schritte zur Lösung

- 2 y^{''} (t) + 5 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{( - 5 + 105 ) t}{4}} + c_{2} e^{\frac{( 5 + 105 ) t}{4}}

y = c_{1} e^{- \frac{( - 5 + 105 ) t}{4}} + c_{2} e^{\frac{( 5 + 105 ) t}{4}}

Graph

Beliebte Beispiele

y^{''}+2y^'-8y=0,y(0)=2,y^'(0)=16

y^{^{''}} + 2 y^{^{'}} - 8 y = 0, y (0) = 2, y^{^{'}} (0) = 16

100y^{''}+180y^'+145y=0

100 y^{^{''}} + 180 y^{^{'}} + 145 y = 0

y^{''}+4y=0,y(0)=5,y^'(0)=-3

y^{^{''}} + 4 y = 0, y (0) = 5, y^{^{'}} (0) = - 3

(D^{2} + 64)^{2} y = 0

4*(d^2y)/(dx^2)+12*(dy)/(dx)+9y=0

4 \cdot \frac{d ^{2} y}{d x ^{2}} + 12 \cdot \frac{d y}{d x} + 9 y = 0