(b) yy'=x (d) y'=frac{e^{x}-y}{1+e^{x}}

sodni3

sodni3

Answered question

2021-02-09

(b)yy=x
(d)y=exy1+ex

Answer & Explanation

lamusesamuset

lamusesamuset

Skilled2021-02-10Added 93 answers

(a) yy′=x. This implies that ydy=xdxydy=xdxy2=x{2}+cy=x2+c.
(b) Here y=exy1+ex. This implies that
eydy=ex1+exdxeydy=ex1+exdxey=ln(1+ex)+cy=ln(ln(1+ex)+c).

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