¿ecuaciones diferenciales lineales?

A) (dy/dx) + tanx - (1/x)y = x/cosx; queda así al dividir por (x*cosx). Q(x) = tanx - (1/x) µ= e^? Tanx - (1/x)*dx µ = e^(-ln|cosx| - ln|x|); o: µ = e^(-ln|cosx|) * e^(-ln|x|) µ = 1/cosx * (1/x); o: µ = 1/(xcosx) d y /(xcosx) = (x/cosx / xcosx)*dx d y /(xcosx) = dx/cos^2x; integro: y / (xcosx) = tanx + C; que podemos expresar como: y / (xcosx) = (senx/cosx) + C y = xsenx + Cxcosx; o: y = x(senx + Ccosx); que es tu primera respuesta.

B) x ( 1 - x ^(2) ) dy/dx + 2x^(2) -1 / x (1-x^(2); está incompleta y hasta esta donde puede verse no es lineal.

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