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Beliebt Rechnen >

y^{''}-10/3 y^'+αy=0

Lösung

y^{^{''}} - \frac{10}{3} y^{^{'}} + α y = 0

Lösung

y = c_{1} e^{\frac{t ( 5 + - 9 α + 25 )}{3}} + c_{2} e^{\frac{t ( 5 - - 9 α + 25 )}{3}}

Schritte zur Lösung

y^{''} (t) - \frac{10}{3} y^{'} (t) + α y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t ( 5 + - 9 α + 25 )}{3}} + c_{2} e^{\frac{t ( 5 - - 9 α + 25 )}{3}}

y = c_{1} e^{\frac{t ( 5 + - 9 α + 25 )}{3}} + c_{2} e^{\frac{t ( 5 - - 9 α + 25 )}{3}}

Graph

Beliebte Beispiele

(y^{''}+4y)^4=0

(y^{^{''}} + 4 y)^{4} = 0

(d^2y)/(dx^2)+0.25(dy)/(dx)+2y=0

\frac{d ^{2} y}{d x ^{2}} + 0.25 \frac{d y}{d x} + 2 y = 0

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

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

((d^2y)/(dx^2))-4y=0

(\frac{d ^{2} y}{d x ^{2}}) - 4 y = 0

y^'+3y^{''}-y^'-3y=0

y^{^{'}} + 3 y^{^{''}} - y^{^{'}} - 3 y = 0