Solve the following exact DEs (a) y2 + 2xydy dx = 1 x2 (b) 2xey + x2ey dy dx = sinx + xcosx (c) x2 dy dx + 2xy = 1 (d) (2x + sinxtany)−cosxsec2 ydy dx = 0.
plese break them down in simple steps
(a) Solve the following exact differential equation: y2 + 2xy(dy/dx) = 1/x2
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