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Beliebt Rechnen >

y^{'''}-3y^{''}+3y^'-y=e^x-x+16

Lösung

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = e^{x} - x + 16

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + c_{3} x^{2} e^{x} + \frac{e ^{x} x ^{3}}{6} + x - 13

Schritte zur Lösung

y^{'''} (x) - 3 y^{''} (x) + 3 y^{'} (x) - y = e^{x} - x + 16

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + c_{3} x^{2} e^{x} + \frac{e ^{x} x ^{3}}{6} + x - 13

y = c_{1} e^{x} + c_{2} x e^{x} + c_{3} x^{2} e^{x} + \frac{e ^{x} x ^{3}}{6} + x - 13

Graph

Beliebte Beispiele

(d^3-3d+2)*y=540x^3*e^{-x}

(d^{3} - 3 d + 2) \cdot y = 540 x^{3} \cdot e^{- x}

(d^3+8)*y=x^4+2x+1+3sin(x)

(d^{3} + 8) \cdot y = x^{4} + 2 x + 1 + 3 sin (x)

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

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

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

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

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

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