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Beliebt Rechnen >

y^{''}+y=4sin(3x)

Lösung

y^{^{''}} + y = 4 sin (3 x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = 4 sin (3 x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-5y^'=25(\H(t-2)-\H(t-4))

y^{^{''}} - 5 y^{^{'}} = 25 (H (t - 2) - H (t - 4))

x^{''}-3x^'-15.25x=e^t

x^{^{''}} - 3 x^{^{'}} - 15.25 x = e^{t}

(D^2+3D+2)y=sin(e^x)

(D^{2} + 3 D + 2) y = sin (e^{x})

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

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

y^{''}+1000y^'+2500y=30

y^{^{''}} + 1000 y^{^{'}} + 2500 y = 30