求方程[tex=5.214x2.714]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia78j3vrgeQDHTtA+q2aGWa3rMeGR7wbFAcLbjuHfwp1dSQ==[/tex]的解 [tex=4.0x1.357]AcsG/g4yU933TGrJs0qkCQ==[/tex], 使它满足条件 [tex=8.929x1.5]IaGVwpKd9qg/dJiIow/l/j0K5FFdHaEB+YLnqT4RYsI=[/tex].
举一反三
- 求方程 [tex=5.214x2.714]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia78j3vrgeQDHTtA+q2aGWa3rMeGR7wbFAcLbjuHfwp1dSQ==[/tex] 的满足条件 [tex=8.929x1.5]IaGVwpKd9qg/dJiIow/l/j0K5FFdHaEB+YLnqT4RYsI=[/tex] 的函数 [tex=4.286x1.357]ATa1Wa5PjCu9KPORWq5yjA==[/tex]
- 设 [tex=4.071x1.357]wv7dtiqAMpwq3KU42Pxfvw==[/tex] 满足 [tex=5.214x2.714]RJakEEAq6IZY8uMTdSFcEFjQzxTnz4/jDu+kcdiia78j3vrgeQDHTtA+q2aGWa3rMeGR7wbFAcLbjuHfwp1dSQ==[/tex], 且 [tex=8.5x1.5]STVAjLOZWQw3nFelsPlYvCUaBgZDPzd4UcF30njrQuQ=[/tex], 则 [tex=3.429x1.357]xT18zZj6Gmx2tY2oThnnDA==[/tex][input=type:blank,size:1][/input]
- 求下列方程所确定的隐函数 [tex=4.0x1.357]AcsG/g4yU933TGrJs0qkCQ==[/tex] 的全微分[tex=10.214x1.429]uvLye+1ijnlLEogjai4XTHvpB/onki3hoMA2AJgi3IMjTnV4DInX4hWGvCqVpmLg[/tex]
- 设函数[tex=4.0x1.357]AcsG/g4yU933TGrJs0qkCQ==[/tex]由方程[tex=4.786x1.357]LpvXFusTNaETMLWrYCtVMw==[/tex]确定，则[tex=4.071x3.0]T7uHijYQhhRkTELWMd0mokM8UnpR9EeKrUmk83TYpG1Nn9euDm21Qq9F1qy7v0MDC15Xz3qjs9UaVgiW7VgtIg==[/tex][input=type:blank,size:6][/input]
- 函数 [tex=4.0x1.357]AcsG/g4yU933TGrJs0qkCQ==[/tex] 是由方程 [tex=8.571x1.357]JVPV4iXUYmRlk6qC0R0sBjWlabc5vJuzRmsYllvKtfM=[/tex] 确定的隐函数,其中 [tex=0.714x1.0]OqF+/h/mAb1/2XhJuj27xg==[/tex] 是可微函数, [tex=2.286x1.214]/Uu9jgxB4g+DifSL38NMLQ==[/tex] 是常数, 且 [tex=6.143x1.286]qXa0x6BI83HGzFZ8+uyHxx5wW+V/JtCetOwIkXNR+3iNsvQuSAXMVRBtxlWLTuJGvYDdr1RcVWe0XNL6y/oeHQ==[/tex], 求 [tex=4.857x2.643]v6vOxZp6SzHuT8nRfcN3VWenwuFmrAMDfR9gqUGV04vgwF7y8pxDA+yQtf8QA1+S6qRbcitB++eRteSRBKkGRtNWBx3WG73lX8P8MPrL1T8=[/tex], 并指出曲面 [tex=4.0x1.357]AcsG/g4yU933TGrJs0qkCQ==[/tex] 是什么曲面?