(dy)/(dx)=y(2+sin(x))

Lösung

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

y = e^{2 x - c o s (x) + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{2 x - c o s (x) + c_{1}}

y = e^{2 x - c o s (x) + c_{1}}

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

y^{^{'}} = \frac{2 x + x y ^{2}}{4 y + y x ^{2}}

\frac{d p}{d t} = p (1 - p)

(1 + x^{2}) \frac{d y}{d x} = 1 + y^{2}

y^{^{'}} = y sec (x)