Classification shown.
Every solution begins with the ODE type, named explicitly so you know which method follows.
Type-aware
AI Solver by AskSia
Differential Equation Solver: every step shown
Type or photograph the differential equation. AskSia classifies, picks the method, and shows every algebraic and integration step. Constants of integration tracked, initial conditions applied if given, solution checked by substitution.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
How does step-by-step differential equation solving work?
Step-by-step ODE solving shows the entire workflow: classify the equation, name the method, perform every algebra and integration step on its own line, apply initial conditions if any, and verify by substituting back into the original ODE. Each line is labeled with the operation performed (separate variables, multiply by integrating factor, integrate left side, etc.), making the solution fully reproducible.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Differential Equation With Steps.
Every step transparent, every answer self-checked.
Each operation labeled.
Multiply, integrate, substitute, simplify , each step appears with the operation named.
Granular
Constants of integration tracked.
Each integration adds a constant. AskSia keeps them named and combines them at the right time.
Bookkeeping
Substitution check at the end.
Final solution gets plugged into the original ODE to confirm it satisfies the equation.
Verified
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Differential Equation With Steps problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Differential Equation With Steps solver covers.
Separable ODE step-by-step.
Every line of the separation, integration, and solving for y appears.
Separable
Integrating factor method.
Computation of mu, multiplication, integration of the left side, each step explicit.
Linear
Characteristic equation work.
Quadratic solution, root classification, general solution writeup all on their own lines.
Second-order
Laplace transform IVP.
Transform, algebra in s, partial fractions, inverse transform, with every step.
Laplace IVP
Word problem ODE.
Translate the prose to an ODE, classify, solve, interpret. Every move shown.
Applied
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
How detailed are the steps?
Each algebraic move and each integration appears on its own line, with the operation named. AskSia does not skip 'standard' work; the goal is that you can follow the solution by hand and reproduce it on a similar problem.
Can I see the substitution check?
Yes. After deriving the solution, AskSia substitutes it (and its derivatives) into the original ODE and simplifies. The two sides of the equation are compared, and any nontrivial verification step is shown.
Does AskSia apply initial conditions explicitly?
Yes. If you provide initial conditions like y(0) = 1, AskSia first finds the general solution with arbitrary constants, then substitutes x = 0 (or the relevant value) and solves for the constants. Each constant determination is on its own line.
What if multiple methods could work?
AskSia picks the cleanest method based on the ODE's structure, but you can request a specific method. On request, AskSia will show the same ODE solved by two different methods for comparison.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Every line, every method, every verification.
Join 2M+ students using AskSia to solve differential equation with steps problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.
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