(dy)/(dx)=(-e^x(y-1))/(2(e^x+4))

Lösung

\frac{d y}{d x} = \frac{- e ^{x} ( y - 1 )}{2 ( e ^{x} + 4 )}

y = \frac{c _{1}}{e ^{x} + 4} + 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{- e ^{x} ( y - 1 )}{2 ( e ^{x} + 4 )}

Solve separable ODE:

y = \frac{c _{1}}{e ^{x} + 4} + 1

y = \frac{c _{1}}{e ^{x} + 4} + 1

y^{^{'}} cos (y) + 2 x sin (y) = - 2 x

y^{^{'}} = y^{2} + y - 30

x \frac{d y}{d x} + 4 y = 0

y^{^{'}} = x y^{3} (1 + x^{2})

\frac{d y}{y} = \frac{d x}{1 + x}