# Uebung 7, Aufgabe 4 c x = var('x'); y = function('y') DE = diff(y(x), x) == y(x)*x/(1+x^2) s=desolve(DE, [y(x),x],show_method=True) show(s)
# Uebung 7, Aufgabe 4 e x = var('x'); y = function('y') DE = diff(y(x), x)*sin(y(x)) == -x s=desolve(DE, [y(x),x],contrib_ode=True,show_method=True) show(s)
# Uebung 8, Aufgabe 1 e x = var('x'); y = function('y') DE = diff(y(x), x) == 1-y(x)/x s=desolve(DE, [y(x),x],contrib_ode=True,show_method=True) show(s)
x = var('x') f(x)=x/(x-1) F=integrate(f,x) show(F)
# Uebung 8, Aufgabe 2b x = var('x'); y = function('y') DE = diff(y(x), x) == x-y(x) s=desolve(DE, [y(x),x],contrib_ode=True,show_method=True) show(s)
# Uebung 8, Aufgabe 1d x = var('x'); y = function('y') DE = diff(y(x), x) == 1-y(x)/x s=desolve(DE, [y(x),x],contrib_ode=True,show_method=True) show(s)
︠8d1b1eff-9cc0-4663-af27-424ffa95d326︠