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Beliebt Rechnen >

y^{''}-y^'+0.25y=0,y(0)=2,y^'(0)= 1/3

Lösung

y^{^{''}} - y^{^{'}} + 0.25 y = 0, y (0) = 2, y^{^{'}} (0) = \frac{1}{3}

Lösung

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

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + 0.25 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-19y^{''}+80y^'+100y=0

y^{^{'''}} - 19 y^{^{''}} + 80 y^{^{'}} + 100 y = 0

y^{''}-6y^{''}+11y^'-6y=0

y^{^{''}} - 6 y^{^{''}} + 11 y^{^{'}} - 6 y = 0

y^{'''}-9y^{''}+18y=0,y(0)=9

y^{^{'''}} - 9 y^{^{''}} + 18 y = 0, y (0) = 9

y^{''}+ay^'+by=0,y(0)=2cos(3x)

y^{^{''}} + a y^{^{'}} + b y = 0, y (0) = 2 cos (3 x)

2y^{'''}+y^{''}=0

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