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Differential Equation Example |
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Let's say the production of computers goes up by N units every month, t. Then, the derivative is
dN/dt
where
dN is the change (increase) in the number of computers and dt is the change in time, t
If the number of computers, N, goes up 100 units every month, t, then the differential equation is
dN/dt = 100 units
The solution to this equation is a function:
N = 100t + c
where
N = number of computers t = number of months c = constant (the number of computers in the first month of analysis)
Contoh Persamaan Pembezaan |
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Katakan pengeluaran komputer bertambah sebanyak N unit setiap bulan, t. Dalam kes ini, terbitan ialah
dN/dt
di mana
dN ialah perubahan (tambahan) dalam bilangan komputer
dan
dt ialah perubahan dalam masa (bulan)
Sekiranya bilangan komputer, N, meningkat sebanyak 100 unit sebulan, maka persamaan pembezaan bagi situati ini ialah
dN/dt = 100 unit
Penyelesaian persamaan ini ialah suatu fungsi
N = 100t + c
di mana
N = bilangan komputer t = bulan c = pemalar (bilangan komputer pada bulan pertama analisis dilakukan)
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