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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+49y=sec(7x)

y^{^{''}} + 49 y = sec (7 x)

y^{''}-y^'-2y=10sin(2x)

y^{^{''}} - y^{^{'}} - 2 y = 10 sin (2 x)

y^{''}-7y^'+12y=4e^{2x}

y^{^{''}} - 7 y^{^{'}} + 12 y = 4 e^{2 x}

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

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

y^{''}-y^'+1/4 y=9+e^{x/2}

y^{^{''}} - y^{^{'}} + \frac{1}{4} y = 9 + e^{\frac{x}{2}}