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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + \frac{1}{2} y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+9y=0,y(0)=1,y^'(0)=-6

y^{^{''}} + 9 y = 0, y (0) = 1, y^{^{'}} (0) = - 6

y^{''}+8y^'+41y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 8 y^{^{'}} + 41 y = 0, y (0) = 1, y^{^{'}} (0) = 2

(3y^{''}+2y^'+y)/4 =0

\frac{3 y ^{^{''}} + 2 y ^{^{'}} + y}{4} = 0

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

4y^{''}-4y^'+37y=0,y(0)=3,y^'(0)=1.5

4 y^{^{''}} - 4 y^{^{'}} + 37 y = 0, y (0) = 3, y^{^{'}} (0) = 1.5