Math  /  Calculus

QuestionScore Part IV Find the dyd y. ( 5 scores per question. The total is 10 scores.)
15. y=sin(tanx+cosx)y=\sin (\tan x+\cos x).
16. eyx2y=0e^{y}-x^{2} y=0.

Studdy Solution
Express dydy in terms of dxdx.
dy=2xyeyx2dx dy = \frac{2x \cdot y}{e^y - x^2} \, dx
Solution for problem 15: dy=cos(tanx+cosx)(sec2xsinx)dx dy = \cos(\tan x + \cos x) \cdot (\sec^2 x - \sin x) \, dx
Solution for problem 16: dy=2xyeyx2dx dy = \frac{2x \cdot y}{e^y - x^2} \, dx

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