Alpha Tutors · University tutoring
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Solve dy/dx = 2xy, given that y(0) = 3. First-order ODE with an initial condition.
- Spot it
The right side is a function of x times a function of y. separable → put all the y's on one side!
- Rule
∫ dy / y = ∫ 2x dx
- Work
ln|y| = x² + C → y = A ex², y(0) = 3 → A = 3
- Answer
y = 3ex² check: y′ = 2x·y ✓
TrapAdd the constant when you integrate, before you use y(0) = 3. Adding it at the end gives the wrong answer.
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"oh, that's why!"Worked examples, then your turn
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Custom notes →How it works
From first message to a plan that fits
You never commit to a fixed number of sessions up front. The tutor recommends how many you need, and explains why.
Tell us what you need
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Free assessment session
The tutor asks questions to find the gaps, teaches a short piece, and gets to know you. You leave with an estimate of how many sessions are needed.
Second session: your plan
The tutor sets out a detailed plan: how many sessions, why, and what each stage covers, whether for one exam or the whole semester.
Pricing
One simple price per session
All prices in USD. You only pay for the sessions you actually take.
- Same price for every university course
- No packs or contracts
- Live lesson with a shared whiteboard
- Practice to do between sessions
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Start with a free assessment
This isn't a full lesson. The tutor asks you questions to find what's weak, teaches for about 15 minutes, and gets to know you. It's also your chance to see if the tutor and teaching style suit you. At the end, the tutor gives an approximate estimate of how many sessions will be needed.
If you continue, the second session comes with a detailed plan: how many sessions, why, and what each one covers.
Questions
Before you book
Who will the tutor be?
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How do online lessons work?
Lessons are live video calls with a shared digital whiteboard, so you and the tutor can write and solve problems together.
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Calculus, linear algebra, differential equations, numerical methods, probability and statistics, statics and dynamics, and related maths, science and engineering courses. Send us your syllabus if you're not sure.
What happens in the free assessment?
The tutor asks questions to find your weak points, teaches for about 15 minutes, and gets to know you. You get an estimate of how many sessions are needed, with no obligation to continue.
Can I ask questions between sessions?
Yes, and it's included in the session price. Message your tutor any time with a question about what you're studying. The tutor replies as soon as they can, and may arrange a short call if something needs explaining live. Tutors help you understand your work, but they don't complete graded assignments, projects or exams.
How does payment work?
Before tutoring starts, you confirm the tutoring terms. We then send a payment link every 5 sessions, or for the remaining sessions when tutoring ends.
How many sessions will I need?
It depends on the goal. Preparing for one exam might take a few weeks, while support through the semester is ongoing. The tutor gives an estimate after the free assessment and a detailed plan in the second session.
What if the match isn't right?
Tell us after the free assessment and we will find a better fit.
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