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Beliebt Rechnen >

y^{''}+16y=16,y(0)=1,y^'(0)=-4

Lösung

y^{^{''}} + 16 y = 16, y (0) = 1, y^{^{'}} (0) = - 4

Lösung

y = - sin (4 t) + 1

Schritte zur Lösung

y^{''} (t) + 16 y = 16

Solve linear ODE:

y = - sin (4 t) + 1

y = - sin (4 t) + 1

Graph

Beliebte Beispiele

θ^{''}(t)-θ(t)=tsin(t)

θ^{^{''}} (t) - θ (t) = t sin (t)

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

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

y^{''}+5/6 y^'+2/15 y= 4/3

y^{^{''}} + \frac{5}{6} y^{^{'}} + \frac{2}{15} y = \frac{4}{3}

y^{''}-y=x+sin(x),y(0)=2,y^'(0)=3

y^{^{''}} - y = x + sin (x), y (0) = 2, y^{^{'}} (0) = 3

y^{''}-5y^'+6y=20sin(8x)

y^{^{''}} - 5 y^{^{'}} + 6 y = 20 sin (8 x)