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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} - \frac{4 x ^{3}}{3} - 5 x^{2} - 10 x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} - \frac{4 x ^{3}}{3} - 5 x^{2} - 10 x

y = c_{1} e^{x} + c_{2} - \frac{4 x ^{3}}{3} - 5 x^{2} - 10 x

Graph

Beliebte Beispiele

y^{''}+2y^'+4y=2t-3cos(2t)

y^{^{''}} + 2 y^{^{'}} + 4 y = 2 t - 3 cos (2 t)

3y^{''}-9y^'=sin(2x)

3 y^{^{''}} - 9 y^{^{'}} = sin (2 x)

y^{''}+9y=3,y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = 3, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+0.01*(20-y)=0

y^{^{''}} + 0.01 \cdot (20 - y) = 0

y^{''}+4y=8e^{2t},y(0)=1,y^'(0)=-2

y^{^{''}} + 4 y = 8 e^{2 t}, y (0) = 1, y^{^{'}} (0) = - 2