AB/C1ODEs

Exponential Growth & Decay — ODE Solver

Solve dy/dt = ky and find doubling time, half-life, and future values.

Live Calculator · Step-by-Step · Calculus

Inputs

Initial value y₀

Rate constant k (negative = decay)

Time t to evaluate

Target value (optional — find when reached)

Results

y(t)

Enter values and solve.

Doubling Time

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Time to reach target

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Step-by-Step Work

Your explanation will appear here.

y(t) = y₀ · e^(kt)

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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