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Beliebt Rechnen >

y^{''}-10y^'+25y=0,y(0)=-3,y^'(0)=-68/5

Lösung

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = - 3, y^{^{'}} (0) = - \frac{68}{5}

Lösung

y = - 3 e^{5 t} + \frac{7 e ^{5 t} t}{5}

Schritte zur Lösung

y^{''} (t) - 10 y^{'} (t) + 25 y = 0

Solve linear ODE:

y = - 3 e^{5 t} + \frac{7 e ^{5 t} t}{5}

y = - 3 e^{5 t} + \frac{7 e ^{5 t} t}{5}

Graph

Beliebte Beispiele

y^{''}+y^'+y2=0

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

49y^{''}-70y^'+25y=0

49 y^{^{''}} - 70 y^{^{'}} + 25 y = 0

linear y^{'''}+7y^{''}+8y^'-16y=0

l in e a r y^{^{'''}} + 7 y^{^{''}} + 8 y^{^{'}} - 16 y = 0

y^{''}+3y^'-4y=0,y(0)=5,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} - 4 y = 0, y (0) = 5, y^{^{'}} (0) = 0

y^{'''}+6y^{''}-36y^'-216y=0

y^{^{'''}} + 6 y^{^{''}} - 36 y^{^{'}} - 216 y = 0