Solve differential equation xy'+3y=x^2

Question
Solve differential equation \(xy'+3y=x^2\)

Answers (1)

2021-02-04
\(dy/dx+(3y)/x=x\)
\(I.F.= e^(int 3/x dx)= e^(3lnx)\)
\(I.F.= x^3\)
\(yx^3= int x^3(x^2)dx+c\)
\(yx^3= int x^5 dx+c\)
\(yx^3= x^6/+c\)
\(y= x^3/6+cx^(-3)\)
0

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