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Differential equations formulas
6 formulas for Differential equations, from the Calculus section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Variable separable | f(y) dy = g(x) dx ⇒ integrate both sides | |
| Linear first order | dy/dx + Py = Q; IF = e^(∫P dx); y·IF = ∫ Q·IF dx + C | |
| Homogeneous | substitute y = vx | |
| Bernoulli | dy/dx + Py = Qyⁿ; substitute z = y^(1−n) | |
| Order & degree | order = highest derivative; degree = its power (polynomial form) | |
| Growth / decay | dN/dt = kN ⇒ N = N₀e^(kt) |
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