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Beliebt Rechnen >

y^{''}+y^'=x^2+x

Lösung

y^{^{''}} + y^{^{'}} = x^{2} + x

Lösung

y = c_{1} + c_{2} e^{- x} + \frac{x ^{3}}{3} - \frac{x ^{2}}{2} + x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + \frac{x ^{3}}{3} - \frac{x ^{2}}{2} + x

y = c_{1} + c_{2} e^{- x} + \frac{x ^{3}}{3} - \frac{x ^{2}}{2} + x

Graph

Beliebte Beispiele

y^{''}-2y^'+y=12x^3e^x

y^{^{''}} - 2 y^{^{'}} + y = 12 x^{3} e^{x}

2y^{''}-2y^'-4y=2e^{2t}

2 y^{^{''}} - 2 y^{^{'}} - 4 y = 2 e^{2 t}

y^{'''}+6y^{''}+11y^'+6y=3+3x

y^{^{'''}} + 6 y^{^{''}} + 11 y^{^{'}} + 6 y = 3 + 3 x

y^{'''}+4y^'=e^x+sin(x)

y^{^{'''}} + 4 y^{^{'}} = e^{x} + sin (x)

y^{''}+y=6sin(2x)

y^{^{''}} + y = 6 sin (2 x)