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Beliebt Rechnen >

y^{''}-2y^'+y=4x^2-3+x^{-1}e^x

Lösung

y^{^{''}} - 2 y^{^{'}} + y = 4 x^{2} - 3 + x^{- 1} e^{x}

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + 4 x^{2} + 16 x - e^{x} x + e^{x} x ln (x) + 21

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + y = 4 x^{2} - 3 + x^{- 1} e^{x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + 4 x^{2} + 16 x - e^{x} x + e^{x} x ln (x) + 21

y = c_{1} e^{x} + c_{2} x e^{x} + 4 x^{2} + 16 x - e^{x} x + e^{x} x ln (x) + 21

Graph

Beliebte Beispiele

y^{''}-y^'+324y=18sin(18t)

y^{^{''}} - y^{^{'}} + 324 y = 18 sin (18 t)

y^{'''}-y^'=9sin(t)

y^{^{'''}} - y^{^{'}} = 9 sin (t)

y^{''}-2y^'=7cos(3t),y(pi)=5,y(0)=0

y^{^{''}} - 2 y^{^{'}} = 7 cos (3 t), y (π) = 5, y (0) = 0

(d^2x)/(dt^2)+6(dx)/(dt)+5x=e^{-t}

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 5 x = e^{- t}

y^{''}-2y^'+y=(e^t)/(t^3)

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{t}}{t ^{3}}