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Beliebt Rechnen >

4y^{''}-4y^'+y=0,y(0)=1,y^'(0)=-1.5

Lösung

4 y^{^{''}} - 4 y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - 1.5

Lösung

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

Schritte zur Lösung

4 y^{''} (t) - 4 y^{'} (t) + y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^{4} - 16) y = 0

y^{''}-2/3 y^'+1/9 y=0

y^{^{''}} - \frac{2}{3} y^{^{'}} + \frac{1}{9} y = 0

y^{^{'}} = 4 y^{^{''}}

y^{''}-4y^'+29y=0,y(0)=6,y^'(0)=-3

y^{^{''}} - 4 y^{^{'}} + 29 y = 0, y (0) = 6, y^{^{'}} (0) = - 3

y^{''}+5y^'-6y=0,y(0)=-3,y^'(0)=39

y^{^{''}} + 5 y^{^{'}} - 6 y = 0, y (0) = - 3, y^{^{'}} (0) = 39