5/3 y+(dy)/(dx)=3-5y

Lösung

\frac{5}{3} y + \frac{d y}{d x} = 3 - 5 y

y = - \frac{e ^{\frac{- 20 x - c _{1}}{3}}}{20} + \frac{9}{20}

Schritte zur Lösung

\frac{5}{3} y + \frac{d y}{d x} = 3 - 5 y

Solve separable ODE:

y = - \frac{e ^{\frac{- 20 x - c _{1}}{3}}}{20} + \frac{9}{20}

y = - \frac{e ^{\frac{- 20 x - c _{1}}{3}}}{20} + \frac{9}{20}

y^{^{'}} = 4 y^{2} cos (x)

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

y^{^{'}} sec (x) = 5 y^{2}, y (\frac{13 π}{2}) = \frac{1}{8}

\frac{y ^{^{'}}}{y ^{\frac{1}{2}}} = - 10

(9 + x) y^{^{'}} = 2 y