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Beliebt Rechnen >

9y^{''}-5y^'=0,y^1(0)=e^{-7x}

Lösung

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

Lösung

y = c_{1} e^{\frac{5 x}{9}} + c_{2}

Schritte zur Lösung

9 y^{''} (x) - 5 y^{'} (x) = 0

Solve linear ODE:

y = c_{1} e^{\frac{5 x}{9}} + c_{2}

y = c_{1} e^{\frac{5 x}{9}} + c_{2}

Graph

Beliebte Beispiele

y^{''}-4y^'=0,y(0)=5-5e^4,y(1)=0

y^{^{''}} - 4 y^{^{'}} = 0, y (0) = 5 - 5 e^{4}, y (1) = 0

4y^{''}+7y^'+8y=0

4 y^{^{''}} + 7 y^{^{'}} + 8 y = 0

y^{''}+10y^'+9y=0,y(0)=2,y^'(0)=0

y^{^{''}} + 10 y^{^{'}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = 0

(d^2y)/(dt^2)-5(dy)/(dt)=0

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} = 0

x^{^{''}} - 3 x^{^{'}} = 0