An annuity is a fund into which one makes equal payments at regular intervals. If the fund earns interest at rate r compounded continuously, and deposits are made continuously at the rate of d dollars per year (a continuous annuity), then the value y(t) of the fund after t years satisfies the differential equation y′ = d + ry. Solve the differential equation for the continuous annuity y(t) with deposit rate d = $5000 and continuous interest rate r = 0.02, subject to the initial condition y(0) = 0 (zero initial value). y= ?
An annuity is a fund into which one makes equal payments at regular intervals. If the fund earns interest at rate r compounded continuously, and deposits are made continuously at the rate of d dollars per year (a continuous annuity), then the value y(t) of the fund after t years satisfies the differential equation y′ = d + ry. Solve the differential equation for the continuous annuity y(t) with deposit rate d = $5000 and continuous interest rate r = 0.02, subject to the initial condition y(0) = 0 (zero initial value). y= ?
An annuity is a fund into which one makes equal payments at regular intervals. If the fund earns interest at rate r compounded continuously, and deposits are made continuously at the rate of d dollars per year (a continuous annuity), then the value y(t) of the fund after t years satisfies the differential equation y′ = d + ry. Solve the differential equation for the continuous annuity y(t) with deposit rate d = $5000 and continuous interest rate r = 0.02, subject to the initial condition y(0) = 0 (zero initial value). y= ?
An annuity is a fund into which one makes equal payments at regular intervals. If the fund earns interest at rate r compounded continuously, and deposits are made continuously at the rate of d dollars per year (a continuous annuity), then the value y(t) of the fund after t years satisfies the differential equation
y′ = d + ry.
Solve the differential equation for the continuous annuity y(t) with deposit rate d = $5000 and continuous interest rate r = 0.02, subject to the initial condition y(0) = 0 (zero initial value).
y= ?
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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