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判断题 二阶齐次线性微分方程的两个线性无关解的线性组合是该方程的通解
学科：默认课程
时间：2026-05-12 12:18:09
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题目1单选题
微分方程 <img src="https://tihai-oss-cloud.itihey.com/img/b27c4b77ea2c9fc7b867f371eb108ffd.png">的通解是()A. <img src="https://tihai-oss-cloud.itihey.com/img/df8f3c6ed2ce6eaeb1787301c0507332.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/b41ab965518197fbe9f0e51ff112dd3c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/f0981827a96e938067c008f6e49d7ddb.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f1c13121d0fc8242658e73669d6e5059.png">
题目2单选题
微分方程 <img src="https://tihai-oss-cloud.itihey.com/img/1118c90d347ecdbef6e775ed257a5eeb.png">的通解是()A. <img src="https://tihai-oss-cloud.itihey.com/img/3a5536524805cd3e5ec7260d1c11ae78.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/8ef17c5735402a94d7341ffcdc830c1f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/4b61b1f1596f026a7ee8410230ecc628.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/9865236a3612dd1d087b0497c4d155eb.png">
题目3单选题
在下列微分方程中,其通解为 <img src="https://tihai-oss-cloud.itihey.com/img/5e3b30db52b5a5e2046117957eedc2e7.png">的是()A. <img src="https://tihai-oss-cloud.itihey.com/img/e7f02fc8f5490660f48a754f448c757b.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/52811103e1c7920f0970e1689359e5a4.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/71d567e07d88acbb7295dd2933e9e78e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/7475daee1f5ee279d03112739e7b948f.png">
题目4单选题
微分方程 <img src="https://tihai-oss-cloud.itihey.com/img/eb8cdb48cc443742f88de1e867acd22a.png">的特解是()A. <img src="https://tihai-oss-cloud.itihey.com/img/191d7f19824b0d52f1d5b173657010f6.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/c0ff85f23acd281b3d8ac913f30bc5ac.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/358f9347bb403b01e7097d8179d427a0.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/3377a79e89f940956b6d2525ee1ca32b.png">
题目5单选题
微分方程 <img src="https://tihai-oss-cloud.itihey.com/img/d5af29f8eb7345d436be0c3091808a44.png">的特解是()A. <img src="https://tihai-oss-cloud.itihey.com/img/6050d8fb3ff558b9dccdee1312e4cf49.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/e0ccfb1e593c606852499ac84f0928f2.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/b3f4de36c9408276b31a4f834059099f.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/bf6c07b6e2dfdc0a1de40034fe71969b.png">
题目6判断题
二阶线性方程 <img src="https://tihai-oss-cloud.itihey.com/img/2eae209c2a77f22a504a50f7c9cc3174.png">的特征方程是 <img src="https://tihai-oss-cloud.itihey.com/img/68bc14900afde7aa1323b6e33b235f1c.png">A. 正确B. 错误
题目7判断题
二阶齐次线性微分方程的两个线性无关解的线性组合是该方程的通解A. 正确B. 错误
题目8判断题
二阶齐次线性方程 <img src="https://tihai-oss-cloud.itihey.com/img/e6af6dc25a90fa3e9bd87429fac1513b.png">的通解是 <img src="https://tihai-oss-cloud.itihey.com/img/ee8645e055208f7af953a8b306e3ce55.png">A. 正确B. 错误
题目9判断题
若<img src="https://tihai-oss-cloud.itihey.com/img/5905d0556cbe666ccbd3ba45e82956d1.png"> 是二阶齐次方程的解,则它们的乘积 <img src="https://tihai-oss-cloud.itihey.com/img/9bf685f612f32caaacfcf785acca406f.png">也是解A. 正确B. 错误
题目10判断题
<img src="https://tihai-oss-cloud.itihey.com/img/2907d656d3e49203b5565f0a2cca25ed.png">A. 正确B. 错误
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