(dy)/(dx)= 1/(ye^x)

Lösung

\frac{d y}{d x} = \frac{1}{y e ^{x}}

y = \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}, y = - \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{y e ^{x}}

Solve separable ODE:

y = \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}, y = - \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}

y = \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}, y = - \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}

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

\frac{d y}{d x} y = (cos^{4} (sin (5 x)))

\frac{d y}{d x} = - \frac{7}{5} x^{4} y^{2}

y^{^{'}} + 2 y x = 0

y^{^{'}} = 8 t cos^{2} (y)