In problem 9–12 use (5) to find the general solution of the given system.
9.
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- 12) Use y = [₁,2"+ to solve 2x²y" - xy + (x+1)y=0. n=0arrow_forwardExample 1.21 y" + 5y" + 12y' + 8y = 5sin2x + 10x? - 3x + 7 private solution yo =?arrow_forward6. What is the general solution of * (x² + 2xy – 4y)dx - (2 – 8xy – 4y)dy = 0 a? - 4y? = c(x - y) x? + 2y = c(x + 2y) O Option 1 O Option 2 a? + 2y? = c(x - 2y) a? + 4y? = c(x + y)arrow_forward
- 3) Personal taxes Suppose that the percent of total personal income that is used to pay personal taxes is given by y = 0.034x² – 0.044x + 12.642 where x is the number of years past 1990 (Source: Bureau of Economic Analysis, U.S. Department of Commerce). (a) Verify that x = 7 is a solution of 14 = 0.034x² – 0.044x + 12.642. (b) Find the year or years when the percent of total per- sonal income used to pay personal taxes is 14.arrow_forward1. 3x + y – 2z = 10 6x – 2y + z = -2 x + 4y + 3z = 7arrow_forward#6 onlyarrow_forward
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