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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} + c_{3} x - \frac{x ^{4}}{6} - \frac{5 x ^{3}}{6} - \frac{5 x ^{2}}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} + c_{3} x - \frac{x ^{4}}{6} - \frac{5 x ^{3}}{6} - \frac{5 x ^{2}}{2}

y = c_{1} e^{x} + c_{2} + c_{3} x - \frac{x ^{4}}{6} - \frac{5 x ^{3}}{6} - \frac{5 x ^{2}}{2}

Graph

Beliebte Beispiele

1/2 x^{''}+1/2 x^'+6x=10cos(3t)

\frac{1}{2} x^{^{''}} + \frac{1}{2} x^{^{'}} + 6 x = 10 cos (3 t)

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

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

8y^{''}+4y^'+5y=1,y(0)=1

8 y^{^{''}} + 4 y^{^{'}} + 5 y = 1, y (0) = 1

y^{'''}-4y^'=cot(2x)

y^{^{'''}} - 4 y^{^{'}} = cot (2 x)

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

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