Solve differential equation y'+2xy= 4x

Question
Solve differential equation \(y'+2xy= 4x\)

Answers (1)

2021-01-29
\(y'+2xy=4x\)
\(y'=4x-2xy\)
\(dy/dx= x(4-2y)\)
\(dy/(4-2y)= xdx\)
\(int dy/(4-2y)= int xdx\)
\((ln(4-2y))/-2= x^2/2+C\)
\(ln(4-2y)= -(x^2+2C)\)
\(4-2y= e^(-(x^2+2C))\)
\(y=(4-e^(-(x^2+2C)))/2\)
0

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