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Beliebt Rechnen >

y^{''}-y^'+1/4 y=0,y(0)=2,y^'(0)=2

Lösung

y^{^{''}} - y^{^{'}} + \frac{1}{4} y = 0, y (0) = 2, y^{^{'}} (0) = 2

Lösung

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

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + \frac{1}{4} y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}+6x^'+25x=0

x^{^{''}} + 6 x^{^{'}} + 25 x = 0

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

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

y^{''}-12y^'-28y=0

y^{^{''}} - 12 y^{^{'}} - 28 y = 0

y^{''''}-9y^{'''}+30y^{''}-44y^'+24y=0

y^{^{''''}} - 9 y^{^{'''}} + 30 y^{^{''}} - 44 y^{^{'}} + 24 y = 0

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

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