Re: [理工] zill 微方P74 29題
※ 引述《powerdown (powerdown)》之銘言:
: dy/dx=cos(x+y),y(0)=π/4
: 先是另u=x+y,整理可得du/(1+cosu)=dx
: 再來要如何積分呢??請高手解惑謝謝!!
du (1-cosu)du (1-cosu)du
------ = ----------- = ------------ = (csc^2u-cscu*cotu)du
1+cosu 1-cos^2u sin^2u
用這樣去積分應該可以解出來
BTW cos^2u是cos平方u,後面以此類推
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