solve the differential equation e2xdydx 2e2xy 2xSolutione2x

solve the differential equation. e^(2x)(dy/dx) + 2e^(2x)y= 2x

e^(2x)(dy/dx) + 2e^(2x)y = d/dx (e^2x y)

Therefore:

d/dx (e^2x y) = 2x

e^2x y = int 2x dx

e^2x y = x² + C

y = (x² + C)e^-2x

where C is a constant.

solve the differential equation. e^(2x)(dy/dx) + 2e^(2x)y= 2xSolutione^(2x)(dy/dx) + 2e^(2x)y = d/dx (e2x y) Therefore: d/dx (e2x y) = 2x e2x y = int 2x dx e2x

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