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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-3y^'-2y=9e^{-x}

y^{^{''}} - 3 y^{^{'}} - 2 y = 9 e^{- x}

(D^3+D^2+5D+5)y=5cos(2x)

(D^{3} + D^{2} + 5 D + 5) y = 5 cos (2 x)

y^{''}+4y=x(sin(2x))

y^{^{''}} + 4 y = x (sin (2 x))

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

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

y^{''}+(-16)y+64=-2/(3x)e^{8x}

y^{^{''}} + (- 16) y + 64 = - \frac{2}{3 x} e^{8 x}