| 下é¢æ˜¯å¦ä¹ 资料下载列表，您å¯ä»¥ç‚¹å‡»è¿™äº›æ–‡ä»¶å进行下载，如果ä¸èƒ½ä¸‹è½½ï¼Œè¯·æŸ¥çœ‹ä¸‹è½½å¸®åŠ© |
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[微分方程：y'=f(x,y)æ–¹å‘åœºçš„ç§¯åˆ†æ›²çº¿å‡ ä½•é—®é¢˜].Lecture.01.The.geometrical.view.of.y'=f(x,y).direction.fields,.integral.curves.mp4
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103.9MB |
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[微分方程：y'=f(x,y)的欧拉数值方法åŠå…¶æ¦‚括].Lecture.02.Euler's.numerical.method.for.y'=f(x,y).and.its.generalizations.mp4
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120.1MB |
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[微分方程：求解第一,二阶线性常微分方程;.稳定æ€åŠçž¬æ€é—®é¢˜].Lecture.03.Solving.first-order.linear.ODE's;.steady-state.and.transient.solutions.mp4
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108.3MB |
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[微分方程：一阶替代方法：.伯努利和é½æ¬¡å¾®åˆ†æ–¹ç¨‹].Lecture.04.First-order.substitution.methods.Bernouilli.and.homogeneous.ODE's.mp4
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108.9MB |
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[微分方程：一阶常微分方程的定性方法和应用].Lecture.05.First-order.autonomous.ODE's.qualitative.methods,.applications.mp4
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98.5MB |
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[微分方程：å¤æ•°ä¸Žç³»æ•°å¾®åˆ†æ–¹ç¨‹].Lecture.06.Complex.numbers.and.complex.exponentials.mp4
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95.7MB |
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[微分方程：一阶常系数线性：解决方案,使用å¤æ‚的方法].Lecture.07.First-order.linear.with.constant.coefficients.behavior.of.solutions,.use.of.complex.methods.mp4
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89.6MB |
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[微分方程：延ç»;温度应用，混åˆï¼ŒRC电路，è…烂，生长模型].Lecture.08.Continuation;.applications.to.temperature,.mixing,.RC-circuit,.decay,.and.growth.models.mp4
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111.5MB |
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[微分方程：解决二阶常系数线性：三个例å].Lecture.09.Solving.second-order.linear.ODE's.with.constant.coefficients.the.three.cases.mp4
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108.8MB |
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[微分方程：连ç».-.å¤æ‚的特å¾æ ¹;.æ— é˜»å°¼å’Œé˜»å°¼æŒ¯è¡].Lecture.10.Continuation.complex.characteristic.roots;.undamped.and.damped.oscillations.mp4
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98.3MB |
| 11-20 |
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[微分方程：二阶线性é½æ¬¡å¾®åˆ†æ–¹ç¨‹çš„：.å åŠ ï¼Œ.唯一，朗斯基行列å¼].Lecture.11.Theory.of.general.second-order.linear.homogeneous.ODE's.superposition,.uniqueness,.Wronskians.mp4
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105.9MB |
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[微分方程：连ç».-.éžé½æ¬¡å¾®åˆ†æ–¹ç¨‹çš„一般ç†è®º,å¸¸æ•°ç³»æ•°å¾®åˆ†æ–¹ç¨‹çš„ç¨³å®šæ€§æ ‡å‡†].Lecture.12.Continuation.general.theory.for.inhomogeneous.ODE's.Stability.criteria.for.the.constant-coefficient.ODE's.mp4
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97.8MB |
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[微分方程：寻找éžé½æ¬¡å¾®åˆ†æ–¹ç¨‹çš„特解：.ç®—å系数微分方程解的公å¼åŒ…å«.（微分方程）].Lecture.13.Finding.particular.solutions.to.inhomogeneous.ODE's.operator.and.solution.formulas.involving.exponentials.mp4
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93.5MB |
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[微分方程：特殊案例解读：.共振].Lecture.14.Interpretation.of.the.exceptional.case.resonance.mp4
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102MB |
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[微分方程：介ç»å‚…ç«‹å¶çº§æ•°;.基本圆周率计算公å¼].Lecture.15.Introduction.to.Fourier.series;.basic.formulas.for.period.2(pi).mp4
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112.5MB |
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[微分方程：奇å¶å‡½æ•°;.周期延长].Lecture.16.Continuation.more.general.periods;.even.and.odd.functions;.periodic.extension.mp4
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99.9MB |
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[微分方程：傅立å¶çº§æ•°æ±‚特解;.共振;.å¬éŸ³ä¹å£°éŸ³].Lecture.17.Finding.particular.solutions.via.Fourier.series;.resonant.terms;hearing.musical.sounds.mp4
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94.8MB |
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[微分方程：介ç»æ‹‰æ™®æ‹‰æ–¯å˜æ¢;.基本公å¼].Lecture.19.Introduction.to.the.Laplace.transform;.basic.formulas.mp4
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90.5MB |
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[微分方程：利用拉普拉斯å˜æ¢æ±‚解线性常微分方程].Lecture.20.Derivative.formulas;.using.the.Laplace.transform.to.solve.linear.ODE's.mp4
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98.1MB |
| 21-30 |
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[微分方程：å·ç§¯å…¬å¼ï¼š.è¯æ˜Žï¼Œ.连接与拉普拉斯å˜æ¢ï¼Œ.应用物ç†é—®é¢˜].Lecture.21.Convolution.formula.proof,.connection.with.Laplace.transform,.application.to.physical.problems.mp4
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81.8MB |
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[微分方程：利用常微分方程求解间æ–输入Laplaceå˜æ¢].Lecture.22.Using.Laplace.transform.to.solve.ODE's.with.discontinuous.inputs.mp4
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83.4MB |
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[微分方程：脉冲输入;.狄拉克函数，.é‡é‡å’Œä¼ 递函数].Lecture.23.Use.with.impulse.inputs;.Dirac.delta.function,.weight.and.transfer.functions.mp4
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96.4MB |
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[微分方程：介ç»ä¸€é˜¶å¸¸å¾®åˆ†æ–¹ç¨‹ç³»ç»Ÿ;.消除问题，.å‡ ä½•è§£é‡Šçš„ä¸€ä¸ªç³»ç»Ÿ].Lecture.24.Introduction.to.first-order.systems.of.ODE's;.solution.by.elimination,.geometric.interpretation.of.a.system.mp4
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89.8MB |
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[微分方程：é½æ¬¡çº¿æ€§å¸¸ç³»æ•°ç³»ç»Ÿï¼š.通过解矩阵特å¾å€¼].Lecture.25.Homogeneous.linear.systems.with.constant.coefficients.solution.via.matrix.eigenvalues.(real.and.distinct.case).mp4
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93.1MB |
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[微分方程：é‡å¤å®žç‰¹å¾å€¼ï¼Œ.å¤ç‰¹å¾å€¼].Lecture.26.Continuation.repeated.real.eigenvalues,.complex.eigenvalues.mp4
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97.5MB |
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[微分方程：2X2的常系数é½æ¬¡çº¿æ€§ç³»ç»Ÿè§£å†³æ–¹æ¡ˆ].Lecture.27.Sketching.solutions.of.2x2.homogeneous.linear.system.with.constant.coefficients.mp4
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110.4MB |
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[微分方程：矩阵方法异构系统：ç†è®ºï¼Œ.基本矩阵，.å˜å¼‚å‚æ•°].Lecture.28.Matrix.methods.for.inhomogeneous.systems.theory,.fundamental.matrix,.variation.of.parameters.mp4
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104.8MB |
 [微分方程：矩阵系数微分方程，.求解ä¸çš„应用系统].Lecture.29.Matrix.exponentials;.application.to.solving.systems.mp4
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97.2MB |
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[微分方程：解耦线性常系数系统].Lecture.30.Decoupling.linear.systems.with.constant.coefficients.mp4
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111.7MB |
| 31-33 |
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[微分方程：éž-线性自治系统：.求关键点和轨迹;éž-线性摆].Lecture.31.Non-linear.autonomous.systems.finding.the.critical.points.and.sketching.trajectories;.the.non-linear.pendulum.mp4
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94.8MB |
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[微分方程：æžé™çŽ¯ï¼š.å˜åœ¨ä¸Žéž-å˜åœ¨çš„æ ‡å‡†].Lecture.32.Limit.cycles.existence.and.non-existence.criteria.mp4
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94.6MB |
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[微分方程：éžä¹‹é—´çš„关系-éžçº¿æ€§ç³»ç»Ÿå’Œç¬¬ä¸€å¸¸å¾®åˆ†æ–¹ç¨‹ï¼Œ.一个系统的结构稳定性].Lecture.33.Relation.between.non-linear.systems.and.first-order.ODE's;.structural.stability.of.a.system,.borderline.sketching.cases;.illustrations.using.Volterra's.equation.and.principle.mp4
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91.4MB |
| 英文å—幕包/33课全 |
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Differential.Equationså—幕包.rar
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614.2KB |
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3.1GB |
