Latest Tools on MiniWebTool

Solve Bernoulli differential equations y' + P(x)y = Q(x)yⁿ step by step. Applies the v = y^(1-n) substitution to linearize, builds the integrating factor, finds the closed-form solution, and plots the particular solution curve against the slope field.

Compute the Jordan canonical form J of a square matrix, plus the transition matrix P such that P^(-1)AP = J. Handles defective (non-diagonalizable) matrices via generalized eigenvectors, with step-by-step kernel-chain analysis and a visual Jordan-block diagram.

Compute addition, subtraction, multiplication, division, inverses, and powers in modular rings Z_n and Galois finite fields GF(p^k). Visualise Cayley tables, classify units, zero divisors, nilpotents, and idempotents, and inspect the multiplicative group structure.

Solve systems of ordinary differential equations x' = Ax symbolically and numerically. Auto-classifies the equilibrium (saddle, node, spiral, center), derives eigenvalues and eigenvectors step by step, writes the closed-form general and particular solution, and draws an interactive phase portrait with animated trajectory — for 2×2, 3×3 linear and nonlinear 2D systems.

Compute the order of every element in a finite group, check whether the group is abelian or cyclic, render the Cayley table as a color-coded heatmap, and visualize the subgroup lattice as a Hasse diagram. Supports cyclic Z_n, direct products Z_m x Z_n, dihedral D_n, and symmetric S_n.