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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} - \frac{1}{2} sin (x) - \frac{1}{3} e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - \frac{1}{2} sin (x) - \frac{1}{3} e^{2 x}

y = c_{1} e^{x} + c_{2} e^{- x} - \frac{1}{2} sin (x) - \frac{1}{3} e^{2 x}

Graph

Beliebte Beispiele

y^{''}+4y^'-2y=2t^2-3t+6

y^{^{''}} + 4 y^{^{'}} - 2 y = 2 t^{2} - 3 t + 6

y^{'''}-y^'=csc(t)

y^{^{'''}} - y^{^{'}} = csc (t)

y^{'''}+4y^'=sin(x)cos(x)

y^{^{'''}} + 4 y^{^{'}} = sin (x) cos (x)

y^{'''}+y^{''}=3e^{-x}+x

y^{^{'''}} + y^{^{''}} = 3 e^{- x} + x

y^{''}+25y=9sec(5x)

y^{^{''}} + 25 y = 9 sec (5 x)