(dy)/(dt)=(0.2+sin(t))(y/2)

Lösung

\frac{d y}{d t} = (0.2 + sin (t)) (\frac{y}{2})

y = e^{0.5 (0.2 t - c o s (t)) + c_{1}}

Schritte zur Lösung

\frac{d y}{d t} = (0.2 + sin (t)) (\frac{y}{2})

Solve separable ODE:

y = e^{0.5 (0.2 t - c o s (t)) + c_{1}}

y = e^{0.5 (0.2 t - c o s (t)) + c_{1}}

y^{^{'}} + y cos (x) = 8 cos (x)

\frac{y ^{^{'}}}{y} = \frac{2}{x}

\frac{d y}{d x} \cdot tan (x) = y

x y^{^{'}} = - y + \frac{1}{y ^{2}}

y^{^{'}} + \frac{y}{200} = 5