y:=operator 'y f:=operator 'f g:=operator 'g h:=operator 'h fa:=operator 'fa fb:=operator 'fb fc:=operator 'fc fd:=operator 'fd fe:=operator 'fe ff:=operator 'ff ode352 := D(y(x),x)*(cos(y(x))-sin(alpha)*sin(x))*cos(y(x))+(cos(x)-_ sin(alpha)*sin(y(x)))*cos(x) yx:=solve(ode352,y,x) ode352expr := D(yx,x)*(cos(yx)-sin(alpha)*sin(x))*cos(yx)+(cos(x)-_ sin(alpha)*sin(yx))*cos(x) ode353 := x*D(y(x),x)*cos(y(x))+sin(y(x)) yx:=solve(ode353,y,x) ode353expr := x*D(yx,x)*cos(yx)+sin(yx) ode354 := (x*sin(y(x))-1)*D(y(x),x)+cos(y(x)) yx:=solve(ode354,y,x) ode354expr := (x*sin(yx)-1)*D(yx,x)+cos(yx) ode355 := (x*cos(y(x))+cos(x))*D(y(x),x)-y(x)*sin(x)+sin(y(x)) yx:=solve(ode355,y,x) ode355expr := (x*cos(yx)+cos(x))*D(yx,x)-yx*sin(x)+sin(yx) ode356 := (x**2*cos(y(x))+2*y(x)*sin(x))*D(y(x),x)+2*x*sin(y(x))+y(x)**2*cos(x) yx:=solve(ode356,y,x) ode356expr:=(x**2*cos(yx)+2*yx*sin(x))*D(yx,x)+2*x*sin(yx)+yx**2*cos(x) ode358 := D(y(x),x)*sin(y(x))*cos(x)+cos(y(x))*sin(x) yx:=solve(ode358,y,x) ode358expr := D(yx,x)*sin(yx)*cos(x)+cos(yx)*sin(x) ode361 := (x*sin(x*y(x))+cos(x+y(x))-sin(y(x)))*D(y(x),x)+_ y(x)*sin(x*y(x))+cos(x+y(x))+cos(x) yx:=solve(ode361,y,x) ode361expr:=(x*sin(x*yx)+cos(x+yx)-sin(yx))*D(yx,x)+_ yx*sin(x*yx)+cos(x+yx)+cos(x) ode363 := (x*D(y(x),x)-y(x))*cos(y(x)/x)**2+x yx:=solve(ode363,y,x) ode363expr := (x*D(yx,x)-yx)*cos(yx/x)**2+x ode364 := (y(x)*sin(y(x)/x)-x*cos(y(x)/x))*x*D(y(x),x)-_ (x*cos(y(x)/x)+y(x)*sin(y(x)/x))*y(x) yx:=solve(ode364,y,x) ode364expr := (yx*sin(yx/x)-x*cos(yx/x))*x*D(yx,x)-_ (x*cos(yx/x)+yx*sin(yx/x))*yx ode434 := D(y(x),x)-1 ode434a:=solve(ode434,y,x) yx:=ode434a.particular ode434expr := D(yx,x)-1 ode683 := (D(y(x),x) = y(x)*(-1+log(x*(x+1))*y(x)*x**4-log(x*(x+1))*x**3)/x) solve(ode683,y,x) ode703 := (D(y(x),x) = y(x)*(1-x+y(x)*x**2*log(x)+y(x)*x**3-x*log(x)-x**2)/_ (x-1)/x) solve(ode703,y,x) ode714 := (D(y(x),x) = -y(x)*(-log(1/x)+exp(x)+y(x)*x**2*log(x)+_ y(x)*x**3-x*log(x)-x**2)/(-log(1/x)+exp(x))/x) solve(ode714,y,x) ode719 := (D(y(x),x) = y(x)*(-exp(x)+log(2*x)*x**2*y(x)-log(2*x)*x)/x/exp(x)) solve(ode719,y,x) ode736 := (D(y(x),x) = (2*x**2+2*x+x**4-2*y(x)*x**2-1+y(x)**2)/(x+1)) solve(ode736,y,x) ode765 := (D(y(x),x) = y(x)*(-1-log((x-1)*(1+x)/x)+_ log((x-1)*(1+x)/x)*x*y(x))/x) solve(ode765,y,x) ode766 := (D(y(x),x) = y(x)*(-log(x)-x*log((x-1)*(1+x)/x)+_ log((x-1)*(1+x)/x)*x**2*y(x))/x/log(x)) solve(ode766,y,x) ode776 := (D(y(x),x) = y(x)*(-log(1/x)-log((x**2+1)/x)*x+_ log((x**2+1)/x)*x**2*y(x))/x/log(1/x)) solve(ode776,y,x) ode872 := (D(y(x),x) = 1/5*(-30*y(x)*x**3+12*x**6+70*x**(7/2)-30*x**3-_ 25*y(x)*x**(1/2)+50*x-25*x**(1/2)-25)/_ (-5*y(x)+2*x**3+10*x**(1/2)-5)/x) solve(ode872,y,x) ode555 := sqrt(D(y(x),x)**2+1)+x*D(y(x),x)-y(x) solve(ode555,y,x) ode557 := x*(sqrt(D(y(x),x)**2+1)+D(y(x),x))-y(x) solve(ode557,y,x) ode558 := a*x*sqrt(D(y(x),x)**2+1)+x*D(y(x),x)-y(x) solve(ode558,y,x) ode562 := a*(D(y(x),x)**3+1)**(1/3)+b*x*D(y(x),x)-y(x) solve(ode562,y,x) ode563 := log(D(y(x),x))+x*D(y(x),x)+a*y(x)+b solve(ode563,y,x) ode564 := log(D(y(x),x))+a*(x*D(y(x),x)-y(x)) solve(ode564,y,x) ode571 := a*x**n*f(D(y(x),x))+x*D(y(x),x)-y(x) solve(ode571,y,x) ode573 := f(x*D(y(x),x)**2)+2*x*D(y(x),x)-y(x) solve(ode573,y,x) ode683 := (D(y(x),x) = y(x)*(-1+log(x*(x+1))*y(x)*x**4-log(x*(x+1))*x**3)/x) solve(ode683,y,x) ode703 := (D(y(x),x) = y(x)*(1-x+y(x)*x**2*log(x)+y(x)*x**3-x*log(x)-x**2)/_ (x-1)/x) solve(ode703,y,x) ode714 := (D(y(x),x) = -y(x)*(-log(1/x)+exp(x)+y(x)*x**2*log(x)+_ y(x)*x**3-x*log(x)-x**2)/(-log(1/x)+exp(x))/x) solve(ode714,y,x) ode719 := (D(y(x),x) = y(x)*(-exp(x)+log(2*x)*x**2*y(x)-log(2*x)*x)/x/exp(x)) solve(ode719,y,x) ode736 := (D(y(x),x) = (2*x**2+2*x+x**4-2*y(x)*x**2-1+y(x)**2)/(x+1)) solve(ode736,y,x) ode765 := (D(y(x),x) = y(x)*(-1-log((x-1)*(1+x)/x)+_ log((x-1)*(1+x)/x)*x*y(x))/x) solve(ode765,y,x) ode766 := (D(y(x),x) = y(x)*(-log(x)-x*log((x-1)*(1+x)/x)+_ log((x-1)*(1+x)/x)*x**2*y(x))/x/log(x)) solve(ode766,y,x) ode776 := (D(y(x),x) = y(x)*(-log(1/x)-log((x**2+1)/x)*x+_ log((x**2+1)/x)*x**2*y(x))/x/log(1/x)) solve(ode776,y,x) ode872 := (D(y(x),x) = 1/5*(-30*y(x)*x**3+12*x**6+70*x**(7/2)-30*x**3-_ 25*y(x)*x**(1/2)+50*x-25*x**(1/2)-25)/(-5*y(x)+2*x**3+_ 10*x**(1/2)-5)/x) solve(ode872,y,x) ode956 := (D(y(x),x) = 1/(1+log(x))*y(x)*(-1-x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*x**2-x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*x**2*log(x)+x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*x**2*y(x)+2*x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*x**2*y(x)*log(x)+x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*x**2*y(x)*log(x)**2)/x) solve(ode956,y,x) ode957 := (D(y(x),x) = 1/(1+log(x))*y(x)*(-1-x**3*x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)-x**3*x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*log(x)+x**3*x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*y(x)+2*x**3*x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*y(x)*log(x)+x**3*x**(2/(1+log(x)))*_ exp(2/(1+log(x))*log(x)**2)*y(x)*log(x)**2)/x) solve(ode957,y,x)