Type or photograph any differential equation. AskSia classifies it as first-order, second-order, linear, separable, exact, Bernoulli, or Laplace-amenable, picks the right method, and returns the general solution with initial-value work and interval of validity.
AskSia's Differential Equation Solver is an AI tool that solves the differential equations a college calculus, ODE, or engineering math student is likely to see. AskSia identifies the equation type, chooses among separation of variables, integrating factor, characteristic equation, undetermined coefficients, variation of parameters, or Laplace transform, and returns the general solution. If initial conditions are present, AskSia returns the particular solution and the interval of validity. Every solve is step-checked, with a substitution check before the answer is shown.
First-order separable, linear, exact, Bernoulli. Second-order constant-coefficient and Cauchy-Euler. Laplace for IVPs. AskSia picks the cleanest method and shows the integration step-by-step.
AskSia identifies whether the equation is first-order linear, separable, exact, or Bernoulli; second-order homogeneous or non-homogeneous; constant-coefficient or variable-coefficient. The classification is shown before the work begins.
For first-order linear equations dy/dx + P(x)y = Q(x), AskSia computes the integrating factor e^(integral of P dx), multiplies through, and integrates. The factor is shown explicitly.
For homogeneous second-order constant-coefficient equations, AskSia builds the characteristic polynomial, finds the roots, and writes the general solution. Real, repeated, and complex roots are all handled with the matching solution form.
For non-homogeneous second-order equations, AskSia chooses undetermined coefficients when the forcing term is polynomial, exponential, sin, or cos, and variation of parameters when it is not. The choice is explained.
When initial conditions are given, AskSia can solve by Laplace transform: transform the equation, solve algebraically, partial-fraction decompose, and inverse transform. Useful for piecewise forcing terms.
AskSia substitutes the general or particular solution back into the original equation to confirm it satisfies the ODE. Initial conditions are also verified term-by-term.
Snap a photo of the ODE from your textbook, paste from an online homework portal, or type with full LaTeX support. Initial conditions can be added inline or on a separate line.
AskSia identifies the equation type, names the method, and shows each integration step with a plain-English reason. Constants of integration are tracked through the work.
General solution appears, particular solution if IVP is set, interval of validity, and a substitution check. Ask Sia to graph the family of solutions or generate practice problems.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
Separable, linear, exact, and Bernoulli equations from Calc 2 and intro ODE courses. AskSia picks the method and shows the integrating factor or substitution explicitly.
Homogeneous and non-homogeneous constant-coefficient equations. Characteristic roots (real, repeated, complex) and forcing-term selection of method.
Initial-value problems with discontinuous or piecewise forcing terms. AskSia uses Laplace transforms, partial fractions, and the inverse transform.
RLC circuit equations, spring-mass-damper systems, heat-equation reductions. AskSia recognizes the physical form and solves in the variables your course uses.
Mixing tanks, exponential growth and decay, Newton's law of cooling, terminal velocity. AskSia builds the ODE from the prose, solves, and interprets the answer.
Paste your candidate solution and AskSia substitutes it into the ODE and the initial conditions, flagging any algebra or sign mistakes.
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 |
Join 2M+ students using AskSia to solve first-order, second-order, and Laplace-amenable differential equations, with the method choice, the integration steps, and a substitution check on every solve.
