验证函数[tex=2.714x1.429]vgDhB7TBy4R/fDFBbnMo+g==[/tex][tex=1.429x1.286]rn8Q6te63RJi0Ftr6Yz0Yg==[/tex]是常数[tex=0.429x1.286]iSm4rwNGwGhTQLnwM3J/Kw==[/tex]是方程[tex=4.429x1.357]sICmdV3P4tgVJSpIM0vmemuIzOCZdAdFVBz98gJWmE4=[/tex]的解.
举一反三
- 下列方程中是一阶微分方程的是[input=type:blank,size:4][/input]. 未知类型:{'options': ['[tex=8.0x1.571]SnLzj4UlSfnGqNtEzxfZSuZwslGsWxsvP2Y+yf7H578Vefe1Ol/nJT135DjkdnSNNikL3arAj80BjvPHaHCDiA==[/tex]', '[tex=10.571x1.571]JR4yrHJRIZfJXwhFSObwrfajFnWUvXzM/YiA3M6aDKuVBZ8I+7v5iXTXdA3E6Rm4vOE2BCfPwFP2rmRygXKEUDk1qLsNDCJ2p8GEbfCSr2s=[/tex]', '[tex=5.643x1.357]m0sKckxx+jZ9iltApBtB23TBISIOx/g0judcsS+akNFZrUNCq3g+BIVQwGbQEh/C[/tex]', '$y^{(4)}+5 y^{\\prime}-\\cos x=0$'], 'type': 102}
- 设函数f(x)在[tex=3.286x1.357]64m0xE4nFlaKGIakApV0PA==[/tex]上连续,且有f(0)=0及f'(x)单调增,证明:在[tex=3.5x1.357]vgrW1/jK/GZ1TOWaPFIQWA==[/tex]上函数[tex=5.071x2.429]KmCvFjqAEA9O51+9erVGP+KtDDqVtXZQWqxj1eiTO5k=[/tex]是单调增的。
- 设f(x)具有性质:[tex=8.571x1.357]8gPeznjMnng12qtkk9Vgczii1Sh4d1qJxc9iHYT5+YI=[/tex]证明:必有f(0)=0,[tex=5.5x1.357]rt5qCY7TXHcsFUQrD44nPA==[/tex](p为任意正整数)
- 求函数[tex=3.286x1.429]kdT+eIE7CHPynuN6CaN40g==[/tex](抛物线)隐函数的导数[tex=1.071x1.429]BUw1BPFU3fsJlAl/vt9M9w==[/tex]当x=2与y=4及当x=2与y=0时,[tex=0.786x1.357]Hq6bf3CacUy07X+VImUMaA==[/tex]等于什么?
- 计算下列函数在指定点[tex=0.929x1.0]tstbm1OuPyfyNcfVXQkZzA==[/tex]处的微分:[tex=7.714x1.357]REScDQ0hYyzlXl6cv9G0rR0oEXRnllev9/qY/ifkprk=[/tex][tex=3.0x1.286]EM38a1zbyj31upkbG/9TlQ==[/tex][tex=0.429x1.286]iSm4rwNGwGhTQLnwM3J/Kw==[/tex].