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Beliebt Rechnen >

y^{''}-5y^'+6y=x^3+2x^2+5x+2

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = x^{3} + 2 x^{2} + 5 x + 2

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{3}}{6} + \frac{3 x ^{2}}{4} + \frac{23 x}{12} + \frac{121}{72}

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 6 y = x^{3} + 2 x^{2} + 5 x + 2

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{3}}{6} + \frac{3 x ^{2}}{4} + \frac{23 x}{12} + \frac{121}{72}

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{x ^{3}}{6} + \frac{3 x ^{2}}{4} + \frac{23 x}{12} + \frac{121}{72}

Graph

Beliebte Beispiele

y^{''}-12y^'+37y=e^{6x}-x^2

(D^2+4D+3)y=2xe^{3x}+3e^{3x}cos(2x)

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

y^{''}+16y=cos(4t),y(0)=1,y(0)=0

y^{''}+4y^'+20x=0