First-Order Differential Equation
Calculate First-Order Differential Equation instantly with the exact formula and a worked example. Free online calculator — no signup, works on mobile.
First-Order Differential Equation
dy/dx = ky, k
y(0)
x
y(x) = y₀·e^(kx)
2.7183
More about: First-Order Differential Equation
What it calculates
The “First-Order Differential Equation” calculator computes y(x) = y₀·e^(kx) from 3 parameters: dy/dx = ky, k, y(0), x.
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters dy/dx = ky, k = 0.5, y(0) = 1, x = 2 the result is 2.72.
How to use
- Enter the parameter values — every field above is adjustable with a slider.
- The result and related metrics are calculated automatically as you type.
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