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Beliebt Rechnen >

2.25y^{''}-3y^'+y=0,y(0)=2,y^'(0)=-1

Lösung

2.25 y^{^{''}} - 3 y^{^{'}} + y = 0, y (0) = 2, y^{^{'}} (0) = - 1

Lösung

y = 2 e^{\frac{2 t}{3}} - \frac{7 e ^{\frac{2 t}{3}} t}{3}

Schritte zur Lösung

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

Solve linear ODE:

y = 2 e^{\frac{2 t}{3}} - \frac{7 e ^{\frac{2 t}{3}} t}{3}

y = 2 e^{\frac{2 t}{3}} - \frac{7 e ^{\frac{2 t}{3}} t}{3}

Graph

Beliebte Beispiele

12x^{''}+6x^'+18x=0

12 x^{^{''}} + 6 x^{^{'}} + 18 x = 0

b*y=(a-v^2)y^{''}

b \cdot y = (a - v^{2}) y^{^{''}}

y^{''}=9y^'-20y

y^{^{''}} = 9 y^{^{'}} - 20 y

y^{''}-4y^{''}-5y=0

y^{^{''}} - 4 y^{^{''}} - 5 y = 0

0.25x^{''}+sqrt(2)x^'+2x=0

0.25 x^{^{''}} + 2 x^{^{'}} + 2 x = 0