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Beliebt Rechnen >

(d^2y)/(dx^2)+4y=x-sin(3x)

Lösung

\frac{d ^{2} y}{d x ^{2}} + 4 y = x - sin (3 x)

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x}{4} + \frac{1}{5} sin (3 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 4 y = x - sin (3 x)

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x}{4} + \frac{1}{5} sin (3 x)

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x}{4} + \frac{1}{5} sin (3 x)

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=xcos(2x)

y^{^{''}} - 3 y^{^{'}} + 2 y = x cos (2 x)

y^{''}-y^'-64y=54cos(3x)

y^{^{''}} - y^{^{'}} - 64 y = 54 cos (3 x)

y^{'''}-5y^'+6y^'=9+5sin(x)

y^{^{'''}} - 5 y^{^{'}} + 6 y^{^{'}} = 9 + 5 sin (x)

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

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

1/2 y^{''}+2y=2tan(2t)-1/2 e^{2t}

\frac{1}{2} y^{^{''}} + 2 y = 2 tan (2 t) - \frac{1}{2} e^{2 t}