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Beliebt Rechnen >

y^{''}-3y^'+2y=(x+1)^2

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = (x + 1)^{2}

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{x ^{2}}{2} + \frac{5 x}{2} + \frac{15}{4}

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) + 2 y = (x + 1)^{2}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{x ^{2}}{2} + \frac{5 x}{2} + \frac{15}{4}

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{x ^{2}}{2} + \frac{5 x}{2} + \frac{15}{4}

Graph

Beliebte Beispiele

(D^2-4)y=cos^2(x)

(D^{2} - 4) y = cos^{2} (x)

y^{''}-2y^'-3y=8e^{2t}+10t^2

y^{^{''}} - 2 y^{^{'}} - 3 y = 8 e^{2 t} + 10 t^{2}

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

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

1/6 y^{''}+6y=3tan(6t)-1/3 e^t

\frac{1}{6} y^{^{''}} + 6 y = 3 tan (6 t) - \frac{1}{3} e^{t}

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

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