y^'+ycos(x)=6cos(x),y(0)=8

Lösung

y^{^{'}} + y cos (x) = 6 cos (x), y (0) = 8

y = 2 e^{- s i n (x)} + 6

Schritte zur Lösung

y^{'} (x) + y cos (x) = 6 cos (x)

Solve separable ODE:

y = 2 e^{- s i n (x)} + 6

y = 2 e^{- s i n (x)} + 6

x y^{^{'}} = (x - 1) y^{2}

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

\frac{d y}{d x} = 5 x^{2} y

\frac{d y}{d x} = y (5 x^{2} + 6)

\frac{d y}{d x} = y (5 x^{2} + 4)