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Beliebt Rechnen >

y^{''}+y^'+y=2xe

Lösung

y^{^{''}} + y^{^{'}} + y = 2 x e

Lösung

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + 2 e x - 2 e

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + 2 e x - 2 e

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) + 2 e x - 2 e

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+(dx)/(dt)=6t

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

y^{''}+2y^'-3y=-15x^2+26x-3

y^{^{''}} + 2 y^{^{'}} - 3 y = - 15 x^{2} + 26 x - 3

y^{''}+6y^'+5y=5x+1

y^{^{''}} + 6 y^{^{'}} + 5 y = 5 x + 1

y^{''}+25y=4sec(5x)

y^{^{''}} + 25 y = 4 sec (5 x)

(d^2v)/(dx^2)-k^2v=k^2n

\frac{d ^{2} v}{d x ^{2}} - k^{2} v = k^{2} n