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Beliebt Rechnen >

y^{''}-6y^'+8y=x^2-5x

Lösung

y^{^{''}} - 6 y^{^{'}} + 8 y = x^{2} - 5 x

Lösung

y = c_{1} e^{4 x} + c_{2} e^{2 x} + \frac{x ^{2}}{8} - \frac{7 x}{16} - \frac{23}{64}

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 8 y = x^{2} - 5 x

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{2 x} + \frac{x ^{2}}{8} - \frac{7 x}{16} - \frac{23}{64}

y = c_{1} e^{4 x} + c_{2} e^{2 x} + \frac{x ^{2}}{8} - \frac{7 x}{16} - \frac{23}{64}

Graph

Beliebte Beispiele

y^{''}-y^'+y=17sin(t)

y^{^{''}} - y^{^{'}} + y = 17 sin (t)

3x^{''}+3x=5cos(4t)

3 x^{^{''}} + 3 x = 5 cos (4 t)

y^{''}+1/8 y^'+y=3*cos(x)

y^{^{''}} + \frac{1}{8} y^{^{'}} + y = 3 \cdot cos (x)

y^{''}+5y^'-6y=21e^t

y^{^{''}} + 5 y^{^{'}} - 6 y = 21 e^{t}

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

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