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Differential Equations: An Introduction to Modern Methods and Applications
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- 1)The sum of three consecutive multiples of 4 is 444. Find these multiples. [This is a problem on linear equations in one variable] 2.State the steps you will take to transform 3x + n = 7 to x = (1/3)[7- n]arrow_forwardShow the algebraic work steps used to lead to the solutions of the system defined by the equations in the previous problem, x2 + 4y2 = 13 and x2 - 4y2 = 5.arrow_forward1.Solve simultaneously for x and y xy = 9 and 25x - 2y -3 =0arrow_forward
- Consider the following pair of simultaneous equations: 6x + 4y − 14 = 0 5x − 3y − 37 = 0 (a) Show that these equations give a finite value for x.arrow_forwardTanks 1 and 2 contain 50 gallons and 100 gallons of salt solutions. T1 and T2. A solution with 5/2 pounds of salt per gallon is pumped into Tank 1 at 1 gallon per minute. From an external source. A solution with 7/2 pounds of salt per gallon is pumped into Tank 2 at 2 gallons per minute. From an external source. The solution is then pumped from T1 to T2 at 2 gallons a minute. The solution is also pumped from T2 to T1 at 3 gallons a minute. T1 is then drained at 1 gallon a minute. T2 is drained at 2 gallons a minute. Let S1(t) and S2(t) represent the number of pounds of salt respective to t>0 Find the system of equations for Q1 and Q2. The help is appreciated.arrow_forwardFind the general solution of the system of equations below: X' x² = ( ² − ³) x -3)xarrow_forward
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