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For each problem, find the particular solution of the differential equation that satisfies the Initial condition. 11) dy 2x dx 2, M(0) = /2 -2-

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For each problem, find the particular solution of the differential equation that satisfies the Initial condition. 11) dy 2x dx 2, M(0) = /2 -2- 12) dy 2x3 dx 2 , 1( - 2 ) - 25 Solve each exponential growth/decay problem. 13) A savings account balance is compounded continuously. If the interest rate is 2.9% per year and the current balance is $1391.00, what will the balance be 7.7 years from now? 14) A savings account balance is compounded continuously. If the balance was $1041.21 10.3 years ago and the current balance is $1347.00, what will the balance be 10.3 years from now? 15) For a period of time, an island's population grows at a rate proportional to its population. If the population was 1328 9.7 years ago and the current population is 1996, in how many years will the population reach 2504? -3

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