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- The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?Find the general solution using Reduction of Order: y''+y'=cos 3xFind the general solution using Reduction of Order: x2y''-xy'+y=0 y1=ln x
- Solve the initial value problem for x as a function of tSuppose a tank contains 60 gallons of pure water. A mixture consisting of 1 pound of salt per gallon is flowing into the tank at a rate of 2 gallons per minute, and the mixture is continuously stirred. Meanwhile, the brine in the tank is allowed to empty out the tank at the same time at a rate of 3 gallons per minute. If the tank is completely empty after 1 hour, Önd the amount of salt in the tank at any time t.Find the general solution using reduction of order. 1. y''+y'=cos(4x)