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Beliebt Rechnen >

y^{''}+4y=sin(x),y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 4 y = sin (x), y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - \frac{1}{6} sin (2 x) + \frac{1}{3} sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = - \frac{1}{6} sin (2 x) + \frac{1}{3} sin (x)

y = - \frac{1}{6} sin (2 x) + \frac{1}{3} sin (x)

Graph

Beliebte Beispiele

y^{''}+3y^'+2y=12e^{-3x}

y^{^{''}} + 3 y^{^{'}} + 2 y = 12 e^{- 3 x}

y^{''}-12y^'+36y=30x+3

y^{^{''}} - 12 y^{^{'}} + 36 y = 30 x + 3

x^{''}+4x^'+40x=20sin(6t)

x^{^{''}} + 4 x^{^{'}} + 40 x = 20 sin (6 t)

y^{^{''}} - y^{^{'}} = 3

y^{^{''}} + y^{^{'}} = 3 x