y^'+ycos(x)=8cos(x)

Lösung

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

y = e^{- s i n (x) + c_{1}} + 8

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- s i n (x) + c_{1}} + 8

y = e^{- s i n (x) + c_{1}} + 8

\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

\frac{d y}{d x} = 14 y + 1, y = - \frac{1}{14} + 12 e^{14 x}