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Miss2016nooooo
@Miss2016nooooo
August 2022
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Помогите пожалуйста решить : X*dy/dx=3-y
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yarovoe
Verified answer
X*dy/dx=3-y,dy/dx=(3-y)/х или
dy/(3-у)=dx/х или
∫dy/(3-у)=∫dx/х ,-∫ dy/(у-3)=∫dx/х,∫ dy/(у-3)=-∫dx/х
ln(y-3)=-lnx+lnC,ln(y-3)=lnC-lnx, ln(y-3)=ln(C/x) или у-3=С/х и,окончательно, у=С/х+3.
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Verified answer
X*dy/dx=3-y,dy/dx=(3-y)/х или dy/(3-у)=dx/х или∫dy/(3-у)=∫dx/х ,-∫ dy/(у-3)=∫dx/х,∫ dy/(у-3)=-∫dx/х
ln(y-3)=-lnx+lnC,ln(y-3)=lnC-lnx, ln(y-3)=ln(C/x) или у-3=С/х и,окончательно, у=С/х+3.