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Beliebt Rechnen >

y^{''}-y^'=x^3

Lösung

y^{^{''}} - y^{^{'}} = x^{3}

Lösung

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

Schritte zur Lösung

y^{''} (x) - y^{'} (x) = x^{3}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}-2x^'+10x=7cos(t)

x^{^{''}} - 2 x^{^{'}} + 10 x = 7 cos (t)

y^{''}-y^'-6y=e^{2t},y^'(0)=1,y(0)=3

y^{^{''}} - y^{^{'}} - 6 y = e^{2 t}, y^{^{'}} (0) = 1, y (0) = 3

y^{''}-4y=14cos(2x)+21sin(2x)

y^{^{''}} - 4 y = 14 cos (2 x) + 21 sin (2 x)

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

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

y^{''}+3y^'+9y=8sin(6t)

y^{^{''}} + 3 y^{^{'}} + 9 y = 8 sin (6 t)