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Beliebt Rechnen >

3y^{''}-2y^'-7y=0

Lösung

3 y^{^{''}} - 2 y^{^{'}} - 7 y = 0

Lösung

y = c_{1} e^{\frac{( 1 + 22 ) t}{3}} + c_{2} e^{\frac{( 1 - 22 ) t}{3}}

Schritte zur Lösung

3 y^{''} (t) - 2 y^{'} (t) - 7 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 1 + 22 ) t}{3}} + c_{2} e^{\frac{( 1 - 22 ) t}{3}}

y = c_{1} e^{\frac{( 1 + 22 ) t}{3}} + c_{2} e^{\frac{( 1 - 22 ) t}{3}}

Graph

Beliebte Beispiele

y^{''}+y^'+9.5y=0

y^{^{''}} + y^{^{'}} + 9.5 y = 0

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

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

y^{''}-3y^'-4y=0,y(0)=3,y(0)=2

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = 3, y (0) = 2

y^{''}-10/3 y^'+αy=0

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

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

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