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A: Solved below
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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?y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of ParametersQ3 of T3 Answer is given show working please
- (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0During a recession, Congress decides to stimulate the economy by providing funds to hire unemployed workers for government projects. Suppose that t months after the stimulus program begins, there are N(t) thousand people unemployed, where N(t)=−t^3+39t^2+406t+3088 To avoid overstimulating the economy (and inducing inflation), a decision is made to terminate the stimulus program as soon as the rate of unemployment begins to decline. When does this occur and at this time, how many people are unemployed?d2y/ dx2 + y = xsinx and show that the solution is y=c1sinx +c2cos x - x2cos x/4+xsinx/4
- (D2-4D+4)y = 6e2x / x4Solve for the general solution of this D.E.Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to state. The percentage of individuals who own a home in Indiana can be modeled by C(t) = –0.6t + 76, where t is the number of years since 2005. For New Hampshire, the same model isgiven by N(t) = 0.5t + 73. Did or will Indiana and New Hampshire ever have the same homeownership rate?Find t(4)(n) for the function t(n)=3n-1/3 +2n5/3.