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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = x + e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''''}-5y^{''}+4y=e^x(-122-48x+72x^2)

y^{^{''''}} - 5 y^{^{''}} + 4 y = e^{x} (- 122 - 48 x + 72 x^{2})

y^{'''}+100y^'=tan(10x)

y^{^{'''}} + 100 y^{^{'}} = tan (10 x)

1x^{''}-3x^'+2x=20sin(2t)

1 x^{^{''}} - 3 x^{^{'}} + 2 x = 20 sin (2 t)

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

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

y^{'''}=3y^{''}+9(e^{2x})+5cos(x)

y^{^{'''}} = 3 y^{^{''}} + 9 (e^{2 x}) + 5 cos (x)