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Beliebt Rechnen >

3((d^2y)/(dx^2))+19((dy)/(dx))-14y=0

Lösung

3 (\frac{d ^{2} y}{d x ^{2}}) + 19 (\frac{d y}{d x}) - 14 y = 0

Lösung

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- 7 x}

Schritte zur Lösung

3 (\frac{d ^{2} y}{d x ^{2}}) + 19 (\frac{d y}{d x}) - 14 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- 7 x}

y = c_{1} e^{\frac{2 x}{3}} + c_{2} e^{- 7 x}

Graph

Beliebte Beispiele

(d^{3} + 8) y = 0

49y^{''}-y=0,y(0)=1,y^'(0)=0

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

12y^{''}-5y-2y=0

12 y^{^{''}} - 5 y - 2 y = 0

y^{''}+2y=0,y(0)=sin(kt)

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

(d^2y)/(dt^2)=5(dy)/(dt)-4y

\frac{d ^{2} y}{d t ^{2}} = 5 \frac{d y}{d t} - 4 y