Personal AI Differential Equations Tutor Online That Teaches the Method
Paste the equation and the tutor asks you to classify it before naming a method, because almost every lost mark in this course is a method applied to an equation it does not fit.
What is the AskSia AI differential equations tutor?
The AskSia AI differential equations tutor is a personal tutoring tool that teaches classification and method selection rather than producing solutions. It hints at the order, linearity and coefficient type of your equation, walks the chosen method with the reasoning shown when you ask, and puts a variation back to you at the end. It covers first order equations, second order linear equations, systems, Laplace transforms, series solutions and the modelling problems that most courses examine. It answers in eight languages. Students on the AskSia A+ plan are additionally covered by the Grade Confidence Guarantee. AskSia is a study aid, not an answer key.
像真人导师一样进行的四个阶段
答案出现时，解题工具就完成任务；当你能独自解下一题，辅导才算完成。
给你方向，而不是直接给解答
它指出卡住的步骤，再把问题交回给你走出下一步。
逐行讲解，搭配图解
需要更多帮助时，它会逐行带你走过解法，而不只告诉你最终结果。
它会反过来问你一题
在继续之前，它会用一个简短问题确认下一步是否真正属于你。
稍后再回来复习
薄弱知识点会在更适合主动回忆、巩固解题方法的时机再次出现。
距离考试还有三周
导师会刻意放慢节奏，为下一题留下可重复使用的解题方法。
每学期最容易失分的三种习惯
This course punishes method selection more than any other maths course. These three are where the marks go.
Picking a method before classifying the equation
Integrating factors on a separable equation and separation on a linear one both waste the question. The tutor asks for the classification in words before any method is named.
Missing resonance in the trial solution
When the forcing term already solves the homogeneous equation, the trial form must be multiplied by t. The tutor asks you to compare the forcing term to the complementary solution first.
Applying initial conditions to the wrong expression
Conditions belong to the general solution including the particular part, not to the complementary solution alone. The tutor asks which expression you are substituting into.
不是题库，而是从你的错误中生成的测验
Your marks are not lost evenly, so your practice is not spread evenly. Try this one.
这位导师涵盖的内容
A standard first course in ordinary differential equations, ordered by the classification decisions that drive everything else.
Taking this alongside multivariable or linear algebra? Systems and eigenvalues sit in both. Using these equations in an applied subject?
Four things a maths tutor does that a chat box does not
它了解你的学习历程，不只是一道问题
下一次辅导会从你真正觉得困难的步骤开始，而不是泛泛地重讲整章内容。
它会画出图解，不只列出代数式
图解会带着标注与解题过程的每一步并列呈现，因为可视化推理本身也能得到分数。
它会找出你自己解题过程中的第一行错误
拍下做错的尝试，它会找到解法最早偏离的步骤，然后讲清这一步。
它按你的课程方式检验理解
长答题需要依照你自己试卷的格式练习，而不是套用选择题题库。
Why the method is the question
A differential equations exam is a sequence of classification decisions with routine algebra attached. Students who lose marks almost never lose them in the algebra. The tutor hints at the classification and refuses to name a method until you have stated the order, the linearity and the coefficient type.
Personal here means it remembers which classification keeps failing. If your first order work is clean but the resonance case in undetermined coefficients keeps being missed, that is tracked on its own and practice returns to it under time pressure.
It tutors in English, German, Japanese, Korean, Spanish, Portuguese, Simplified Chinese and Traditional Chinese, so you can reason through a method in your first language while presenting working in the language of assessment.
学生真正会问的问题
Does it just solve the equation?
No. It asks you to classify the equation first, then hints at the method the classification implies. It works the full solution when you ask, and ends with a variation put back to you. You can request the answer at any point, but it will not lead with it.
Does it cover Laplace transforms?
Yes, including step and impulse forcing, and the partial fraction work that most students find harder than the transform itself.
Can it help with modelling questions?
Yes. Spring mass systems and RLC circuits are the two most common, and the tutor works from the physical description to the equation rather than handing you a standard form.
Does it handle systems and phase portraits?
Yes, including eigenvalue classification and reading stability from the phase plane rather than only computing it.
Will it use my course's notation?
It will once your slides are connected. Notation for the transform variable, for the complementary and particular solutions, and for the operator form differs between textbooks.
Is using an AI differential equations tutor allowed?
AskSia is built as a study aid, not an answer key. Using it to classify an equation, check your own working or generate extra practice sits in the same category as a tutorial. Assessment rules differ, so check your own faculty's AI policy before using any tool on graded work.
全部 149 位 AskSia 导师
每个学科都采用同一种方式：针对你卡住的步骤给出提示，结合你自己的课程资料讲解，最后再向你抛回一个问题。
数学和统计学
15从代数到微积分，也提供面对截止日的作业辅导。
科学
11物理、化学与生命科学的导师页面和作业辅导。
计算和数据
22涵盖主要编程语言，以及课程实际使用的理论、数据和工具。
工程
8从静力学到流体力学，并提供应用课程作业页面。
商业和经济
9会计、金融与经济，搭配图表及财务报表。
人文与写作
13协助审阅草稿而非代写的人文与写作学科。
语言
16提供附规则的修正，以及目标语言的对话练习。
AP课程
20依据内容与评分标准共同设计。
考试和认证
11以实际评分格式练习证书与入学考试。
健康类课程
7结合每个选项的依据，协助课程与执照准备。
学习支持
9当你需要重整整份日程，或今晚就要面对截止时间。
比较学习工具
8比较各工具的强项，以及它们无法处理的范围。
