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}

下列各组水溶液等体积相混合时，哪些可以作为缓冲溶液，为什么?[tex=10.857x1.571]Q5GSom8RnssuSOwQeHZdXzT5c7w+fcSTY2TOSlLydmmkj9WkCCfU1mEenVflbIU0[/tex] 和[tex=10.571x1.571]QwXoCY80HnfirL66mH2a+CXCT2HswxFm/o9ic+Semovs1PaCw0EXNpZwdnrhH1ei[/tex] 。

验证函数[tex=14.786x2.643]U5ta6qLOqgsP6vu8F3z/5x23cjjX3qj5cEQ1J3h2hWdnSrvm730B3eAmNIX9AVM+SxoaRLCsgWXl9W4OxZ+zSUx7wyHKVO7GJwflms79T/su90iJoUjFmUjCkuxOs4ze[/tex] 为正整数)满足微分方程 [tex=10.571x1.571]3FFD+v/21Xhfm5t6bRuHxWFuv4EpuF3VbaZZeMLOu5yRkqPbGaO/sMdzBdu1HXgsV9cbTPKLTA+VP19edYI9JWj3LjAo3SvpRWKN4UGabGU=[/tex] [贝塞尔 [tex=3.714x1.357]EykbbKkEJDAhmaSosZVsmQ==[/tex]方程 ].

若C为常数，A及k为常矢量，试证:①[tex=6.214x1.214]S6hpMdq+c0xUUj2qviqxPvTKZE23IVtA8eHted4k4srsQ6Y1YGDyZVXumxj/xgZ9[/tex]②[tex=9.571x1.571]+uqEelBTaZpp8y2SsBkhvGgGaaLwNq+0KgFbzbs4Gq0/RW0A0oUSJHdzZdJp7NLw0dcgBrwWv/yS2884ojiNrFixJ6515aQ+8C1IwryYe+U=[/tex]③[tex=10.571x1.571]kBCMbqQHHZb2fcr3oDOco0DNJuGe4WALdADZ6k9MCYVPPGcUI2jDknNv3/xsr3WyDwc/SNuAJ+BxzAV+kxFQjfV/EbKVVeyMRcIMC6alK5s=[/tex]

设连续随机序列[tex=7.214x1.357]XY6Nn4J90vqXKz7M+8aYb2GLGwsqyT19Ft9L8Ex6xUQkCnYgseod13/y2hnTYk59[/tex]的取值范围为[tex=4.286x1.357]UwEPaYlmMcrqai8GGqr32OuI1PAboiiFkP9IpohmERs=[/tex]分别求满足下面条件达到最大熵的率[tex=2.786x1.357]9oX+mw4x17k9lUTOukM9WQ==[/tex][tex=10.571x1.571]yiSnDNbzoaJwwm4brsPFWcwbmMGpViNE5g54vn42FiQGNAijUo2cLxzpQH6imtANKdni9//V5n/jPPq0kM3mSw==[/tex]

下列方程中有一个是一阶微分方程,它是[input=type:blank,size:4][/input] 未知类型：{'options': ['[tex=7.143x1.571]CLt77XwtfG1GNl2QEAFS3luIFJ0TVDmLU8jJ+qHFNo8rXR6JntuTmk033dwpl/LLUoKlN17Vf6WMgTZ9KSB7tw==[/tex]', '[tex=10.571x1.571]JR4yrHJRIZfJXwhFSObwrfajFnWUvXzM/YiA3M6aDKuVBZ8I+7v5iXTXdA3E6Rm4vOE2BCfPwFP2rmRygXKEUDk1qLsNDCJ2p8GEbfCSr2s=[/tex]', '[tex=11.857x1.571]YzGc47P+T6iNccnQWTZWb9DAz1kuSzdTrLfwk/ENQOurvBhWuJHLbqHzSSm1xvRQSlUgW9OUw6CC7ZSgh/qnex+zgLexSDPQcFBzr7AkLDI=[/tex]', '[tex=5.5x1.357]m0sKckxx+jZ9iltApBtB23TBISIOx/g0judcsS+akNFZrUNCq3g+BIVQwGbQEh/C[/tex]'], 'type': 102}

已知[tex=10.571x1.571]lj2bMQqi5z3WNQ4id/iW/tZCxjhke4uYKJoTspLqURXrv/fGaLpEmdjq7QnLOlQWAQv624kQ9Ei7Qud+8n7yqw==[/tex] , [tex=17.143x1.571]415UJxNb83DWaELlfi/xFQYCEJsErHDdPuY2KDXHPf4Ux6YoEBa0eJH65XcDZeZot1DcQWEHhuVhKrQvxOOOByn/SAuVPA35eacCXB8tFq6pJMU/4iOBRZkJDOrkrlbH[/tex],则[tex=5.357x1.571]qfgm2FDxaBp04qnytLRZAPJ7HEdZL+Sm/ZNM6ZLlADtDcR3g+VXQ8MsgyRqFNxDp[/tex]和 [tex=5.357x1.571]qfgm2FDxaBp04qnytLRZAMfb5UPPNB6fECXkQ7bYFih5Cev/j9INC3klgZ/hOfp8[/tex]的稳定常数较大的是[input=type:blank,size:4][/input].

下列变量组（）是一个闭回路。 A: {x，x，x，x，x，x} B: {x，x，x，x，x} C: {x，x，x，x，x，x} D: {x，x，x，x，x，x}

以下谓词蕴含式正确的是（）: (∀x) (A(x)→B(x))=>( ∀x)A(x)→(∀x)B(x)|(∀x) (A(x)↔B(x))=>( ∀x)A(x)↔(∀x)B(x)|(∀x)A(x)∨(∀x)B(x)=>( ∀x) (A(x)∨B(x))|(∃x) (A(x)∧B(x))=>(∃x)A(x)∧(∃x)B(x)

以下谓词蕴含式正确的是（）: (?x) (A(x)→B(x))=>( ?x)A(x)→(?x)B(x)|(?x) (A(x)?B(x))=>( ?x)A(x)?(?x)B(x)|(?x)A(x)∨(?x)B(x)=>( ?x) (A(x)∨B(x))|(?x) (A(x)∧B(x))=>(?x)A(x)∧(?x)B(x)