(dy}{dx}=\frac{xcos(x))/y

Lösung

\frac{d y}{d x} = \frac{x cos ( x )}{y}

y = 2 x sin (x) + 2 cos (x) + c_{1}, y = - 2 x sin (x) + 2 cos (x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x cos ( x )}{y}

Solve separable ODE:

y = 2 x sin (x) + 2 cos (x) + c_{1}, y = - 2 x sin (x) + 2 cos (x) + c_{1}

y = 2 x sin (x) + 2 cos (x) + c_{1}, y = - 2 x sin (x) + 2 cos (x) + c_{1}

x^{^{'}} = 2 t x + t

y^{^{'}} = \frac{5 x ^{2} - 1}{5 + 7 y}

(x^{2} + 1) d t = 4 t x d x

\frac{d y}{d x} = \frac{e ^{2 x}}{cos ( 2 y )}

y^{^{'}} = - 2 x e^{y}, y (2) = 5