Thursday

April 17, 2014

April 17, 2014

Posted by **may** on Tuesday, January 27, 2009 at 11:38pm.

differentital equation

dx/dt = 1000+0.10x

initial condition

x(0) = 1000

A) solve the initial value problem for x as a function of t

B) about how many years will it take for the amount in your account to reach $ 100,000

[I know how to plug in for part , but can anyone help me on the part A to find t]

- Calculas HS -
**drwls**, Wednesday, January 28, 2009 at 12:32pmUse the method of separation of variables to solve the differential equation, and the initial condition x(0) = 1000 to get the cosnstant term. The resulting x(t) will have an exponential form.

Separation of variables will involve the integration of

dx/(1000+0.10x) = dt

The resulting equation will be an approximation that is valid only when t is an integral number of years. During the interim, the balance will be a stepwise function until the next deposit and interest payment is made.

**Related Questions**

differential equation - If P(t) is the amount of dollars in a savings bank ...

math models - Tanisha wants to have $1000 in her bank account in 5 years. How ...

math - Assume you want to accumulate $125,000 for a long-range goal in 40 years...

Math - Kent invested $5,000 in a retirement plan.He allocated X dollars of the ...

Finance - If I open an account of a 1000.00 and it pays year interest at .08 How...

finance - Suppose you pay $1000 into a savings account that pays 2% per year, ...

math - interest rates/annuity - Plan to save $5000 per year for retirement with ...

math - hermione puts $1000 into an account on january 1, 2008. if the account is...

math - Inflation is running 2% per year when you deposit $1000 in an account ...

math - a bank account earns 7% annual interest compounded continuously. you ...