Interactive Math Suite
Solve. Explore. Understand.
Five powerful tools for equation solving, matrix algebra, calculus, Laplace transforms, and differential equations.
Equation Solver
x²−5x+6=0
2x+5=13
x²+4x+4=0
log(x)+log(x-3)=1
x³−6x²+11x−6=0
Matrix Size
Matrix A:
×
Matrix B:
×
Matrix A
Matrix B
Operation
Select an operation and click Calculate.
Function Input
x³
sin(x)
x²−4x+3
eˣ
ln(x)
x⁴−3x²
Laplace Transform Calculator
e⁻²ᵗ
t²
sin(3t)
cos(2t)
t·e⁻ᵗ
1 (unit step)
Common Laplace Transform Pairs
| f(t) | F(s) = ℒ{f(t)} | Condition |
|---|---|---|
| 1 | 1/s | s > 0 |
| t | 1/s² | s > 0 |
| tⁿ | n!/s^(n+1) | s > 0 |
| e^(at) | 1/(s−a) | s > a |
| sin(ωt) | ω/(s²+ω²) | s > 0 |
| cos(ωt) | s/(s²+ω²) | s > 0 |
| e^(at)·sin(ωt) | ω/((s−a)²+ω²) | s > a |
| e^(at)·cos(ωt) | (s−a)/((s−a)²+ω²) | s > a |
| t·e^(at) | 1/(s−a)² | s > a |
| δ(t) (impulse) | 1 | all s |
Differential Equation Solver
1st Order Linear
Separable
2nd Order
Form: dy/dx + P(x)·y = Q(x)
Form: dy/dx = f(x)·g(y) → g(y)dy = f(x)dx
Form: ay” + by’ + cy = 0 (constant coefficients)
dy/dx+2y=4
dy/dx=x·y (sep.)
y”-3y’+2y=0