Exponential differential equation
Calculate exponential differential equation and see the working behind your result.
Inputs
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Formula & explanation
y′=ky, y(0)=y₀ ⇒ y(t)=y₀eᵏᵗ
Variables & units
- Initial value · y(0)
- Numeric value · minimum -1000000, maximum 1000000
- Constant rate · k
- Numeric value · minimum -10, maximum 10
- Time · t
- Numeric value · minimum -100, maximum 100
Worked example
y′=0.5y and y(0)=3 give y(2)=3e≈8.154845.
Assumptions
The rate k is constant; its inverse-time units must match the time input.
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