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Beliebt Rechnen >

y^{''}-y=e^{2t}

Lösung

y^{^{''}} - y = e^{2 t}

Lösung

y = c_{1} e^{t} + c_{2} e^{- t} + \frac{1}{3} e^{2 t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} + \frac{1}{3} e^{2 t}

y = c_{1} e^{t} + c_{2} e^{- t} + \frac{1}{3} e^{2 t}

Graph

Beliebte Beispiele

y^{''}-2y^'+2y=e^{2x}(cos(x)-6sin(x))

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{2 x} (cos (x) - 6 sin (x))

y^{''}-10y^'+25y=4-e^t

y^{^{''}} - 10 y^{^{'}} + 25 y = 4 - e^{t}

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

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

y^{''}+2y^'+2y=3t^2,y(0)=0,y^'(0)=2

y^{^{''}} + 2 y^{^{'}} + 2 y = 3 t^{2}, y (0) = 0, y^{^{'}} (0) = 2

y^{''}+2y^'+y=sin(x)+2cos(2x)

y^{^{''}} + 2 y^{^{'}} + y = sin (x) + 2 cos (2 x)