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.
如同真人導師的四個階段
解答出現時，解題工具就完成任務；當你能獨自解下一題，輔導才算完成。
給推進方向，而不是直接給解答
它指出卡住的步驟，再把問題交回給你走出下一步。
逐行說明，搭配圖解
需要更多協助時，它會逐行帶你走過解法，而不只告訴你最終結果。
它會反過來問你一題
在繼續之前，它會用一個簡短問題確認下一步是否真正屬於你。
稍後再回來複習
弱項會在更適合主動回憶、鞏固解題方法的時機再次出現。
考試還有三週
導師會刻意放慢節奏，為下一題留下可重複使用的解題方法。
每學期最容易失分的三個習慣
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.
不是題庫，而是從你的錯誤建立的測驗
Your marks are not lost evenly, so your practice is not spread evenly. Try this one.
這位導師涵蓋的內容
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
它了解你的學習歷程，不只是一個問題
下一次輔導會從你真正感到困難的步驟開始，而不是泛泛地重講整個主題。
它會畫出圖解，不只列出代數式
圖解會帶著標記與解題過程的每一步並列呈現，因為視覺化推理本身也能得到分數。
它會找出你自己解題過程中的第一行錯誤
拍下做錯的嘗試，它會找到解法最早偏離的步驟，接著講清這一步。
它依照你的課程方式檢驗理解
長答題需要依照你自己試卷的格式練習，而不是套用選擇題題庫。
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.
學生真正會問的問題
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 導師
每個學科都採用同一種方式：針對你卡住的步驟給出提示，結合你自己的課程資料講解，最後再向你拋回一個問題。
數學和統計學
15從代數到微積分，也提供面對截止日的作業協助。
科學
11物理、化學與生命科學的導師頁面和作業協助。
計算和數據
22涵蓋主要程式語言，以及課程實際使用的理論、資料與工具。
工程
8從靜力學到流體力學，並提供應用課程作業頁面。
商業和經濟
9會計、金融與經濟，搭配圖表及財務報表。
人文與寫作
13協助檢閱草稿而非代寫的人文與寫作科目。
語言
16提供附規則的修正，以及目標語言的對話練習。
AP課程
20依照內容與評分規準共同設計。
考試和認證
11以實際評分格式練習證照與入學考試。
健康相關課程
7結合每個選項的理據，協助課程與執照準備。
學習支持
9當你需要重整整份行程，或今晚就要面對截止日。
比較學習工具
8比較各工具的強項，以及它們無法處理的範圍。
