icon-komplexe-Zahl Collection first order differential equation

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y'(x)+ay(x)=b

y(x)=ba+Ce-ax

y'(x)+ay(x)=cebx

y(x)=cebxa+b+k1e-ax

y'(x)+2xy(x)=xe-x2

y(x)=k1e-x2+12e-x2x2

=e-x2k1+x22

y'(x)+xy(x)=x

y(x)=c1e-x22+1

y'(x)+y(x)=x

y(x)=c1e-x+x-1

y'(x)=y(x)2

y(x)=1c1-x

y'(x)+y(x)2=1

Separated: y'(x)1-y(x)2=1

Riccatische Equation: y'(x)=-y(x)2+1

y(x)=e2x-e2c1e2c1+e2x

y'(x)=Ay(x)-aBy(x)-b

y(x)=bexaB-Ab-aCBexaB-Ab-AC