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Beliebt Rechnen >

2y^{''}-7y^'+3y=0,y(0)=0,y^'(0)=2

Lösung

2 y^{^{''}} - 7 y^{^{'}} + 3 y = 0, y (0) = 0, y^{^{'}} (0) = 2

Lösung

y = \frac{4}{5} e^{3 t} - \frac{4}{5} e^{\frac{t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{4}{5} e^{3 t} - \frac{4}{5} e^{\frac{t}{2}}

y = \frac{4}{5} e^{3 t} - \frac{4}{5} e^{\frac{t}{2}}

Graph

Beliebte Beispiele

625 y^{^{''''}} = y

y^{''}+14y^'=0,y(0)=-2,y^'(0)=14

y^{^{''}} + 14 y^{^{'}} = 0, y (0) = - 2, y^{^{'}} (0) = 14

linear y^{''}+y^'-2y=0,y(0)=4,y^'(0)=5

l in e a r y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = 4, y^{^{'}} (0) = 5

y^{''}+3y^'+12y=0

y^{^{''}} + 3 y^{^{'}} + 12 y = 0

4/9 y^{''}+36y=0

\frac{4}{9} y^{^{''}} + 36 y = 0