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Beliebt Rechnen >

y^{''}-7y^'+6y=2,y^'(0)=7

Lösung

y^{^{''}} - 7 y^{^{'}} + 6 y = 2, y^{^{'}} (0) = 7

Lösung

y = \frac{e ^{6 t} ( 7 - c _{2} )}{6} + c_{2} e^{t} + \frac{1}{3}

Schritte zur Lösung

y^{''} (t) - 7 y^{'} (t) + 6 y = 2

Solve linear ODE:

y = \frac{e ^{6 t} ( 7 - c _{2} )}{6} + c_{2} e^{t} + \frac{1}{3}

y = \frac{e ^{6 t} ( 7 - c _{2} )}{6} + c_{2} e^{t} + \frac{1}{3}

Graph

Beliebte Beispiele

y^{'''}-y^'=1-x^2

y^{^{'''}} - y^{^{'}} = 1 - x^{2}

y^{''}-4y^'+3y=2e^{(3t)}

y^{^{''}} - 4 y^{^{'}} + 3 y = 2 e^{(3 t)}

y^{^{''}} + 4 y = 3 x

y^{''}+2ay^'+b^2y=sin(ct)

y^{^{''}} + 2 a y^{^{'}} + b^{2} y = sin (c t)

x^{''}+10x^'+16x=2581cos(5t)

x^{^{''}} + 10 x^{^{'}} + 16 x = 2581 cos (5 t)