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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 3 x} + \frac{2 x ^{3}}{9} - \frac{x ^{2}}{18} + \frac{10 x}{27}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 x} + \frac{2 x ^{3}}{9} - \frac{x ^{2}}{18} + \frac{10 x}{27}

y = c_{1} + c_{2} e^{- 3 x} + \frac{2 x ^{3}}{9} - \frac{x ^{2}}{18} + \frac{10 x}{27}

Graph

Beliebte Beispiele

y^{''}-4y=24cos(2t)

y^{^{''}} - 4 y = 24 cos (2 t)

y^{''}+2y^'+10y=2cos(x)+cos(3x)

y^{^{''}} + 2 y^{^{'}} + 10 y = 2 cos (x) + cos (3 x)

y^{''}+100y^'+2500y=20

y^{^{''}} + 100 y^{^{'}} + 2500 y = 20

y^{''}-y^'-2y=4

y^{^{''}} - y^{^{'}} - 2 y = 4

y^{''}-4y^'-y-2=0

y^{^{''}} - 4 y^{^{'}} - y - 2 = 0