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Beliebt Rechnen >

y^{''}+36y=4sin(2x),y(0)=1,y^'(0)=0

Lösung

y^{^{''}} + 36 y = 4 sin (2 x), y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = cos (6 x) - \frac{1}{24} sin (6 x) + \frac{1}{8} sin (2 x)

Schritte zur Lösung

y^{''} (x) + 36 y = 4 sin (2 x)

Solve linear ODE:

y = cos (6 x) - \frac{1}{24} sin (6 x) + \frac{1}{8} sin (2 x)

y = cos (6 x) - \frac{1}{24} sin (6 x) + \frac{1}{8} sin (2 x)

Graph

Beliebte Beispiele

y^{''}+y^'-2y=3-6t

y^{^{''}} + y^{^{'}} - 2 y = 3 - 6 t

y^{''}+8y^'+16y=6sin(4t)

y^{^{''}} + 8 y^{^{'}} + 16 y = 6 sin (4 t)

y^{''}+2y^'-35y=x^2

y^{^{''}} + 2 y^{^{'}} - 35 y = x^{2}

y^{''}+16y=cos(3t),y(0)=0,y^'(0)=0

y^{^{''}} + 16 y = cos (3 t), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-y^'-6y=-14t+12t^2

y^{^{''}} - y^{^{'}} - 6 y = - 14 t + 12 t^{2}