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Beliebt Rechnen >

25y^{''}-30y^'+9y=0,y^1(0)=e^3 x/5

Lösung

25 y^{^{''}} - 30 y^{^{'}} + 9 y = 0, y^{1} (0) = e^{3} \frac{x}{5}

Lösung

y = c_{1} e^{\frac{3 x}{5}} + c_{2} e^{\frac{3 x}{5}} x

Schritte zur Lösung

25 y^{''} (x) - 30 y^{'} (x) + 9 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{3 x}{5}} + c_{2} e^{\frac{3 x}{5}} x

y = c_{1} e^{\frac{3 x}{5}} + c_{2} e^{\frac{3 x}{5}} x

Graph

Beliebte Beispiele

4y^{''}-4y^'+y=0,y(0)=1,y^'(0)=-1.5

4 y^{^{''}} - 4 y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - 1.5

(d^{4} - 16) y = 0

y^{''}-2/3 y^'+1/9 y=0

y^{^{''}} - \frac{2}{3} y^{^{'}} + \frac{1}{9} y = 0

y^{^{'}} = 4 y^{^{''}}

y^{''}-4y^'+29y=0,y(0)=6,y^'(0)=-3

y^{^{''}} - 4 y^{^{'}} + 29 y = 0, y (0) = 6, y^{^{'}} (0) = - 3