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Beliebt Rechnen >

(d^3+2d^2+d)y=+x^2+x

Lösung

(d^{3} + 2 d^{2} + d) y = + x^{2} + x

Lösung

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

Schritte zur Lösung

(d^{3} + 2 d^{2} + d) y = x^{2} + x

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'-6y=3x-1

y^{^{''}} - y^{^{'}} - 6 y = 3 x - 1

(d^2+3d+2)*y=e^{e^x}

(d^{2} + 3 d + 2) \cdot y = e^{e^{x}}

(d^2-1)y=x^2+cos^2(x)

(d^{2} - 1) y = x^{2} + cos^{2} (x)

(d^2+d-6)y=e^2x*sin^3(x)

(d^{2} + d - 6) y = e^{2} x \cdot sin^{3} (x)

y^{''}+y^'-6y=6x^2-2x-2

y^{^{''}} + y^{^{'}} - 6 y = 6 x^{2} - 2 x - 2