In Problems 1–12 find the general solution of the given system.
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Chapter 8 Solutions
Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's ... Problems, 9th Edition, Single-Term
- This.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_forwardQuestion. Solve: x" -x + 5y² = + 4" - 4y - 2x² = -2 with x (0) = y(0) = x²(0) = y₁ (0) = 0 Let & [ X (²) } = U (6) & & Gy (+) 2 = V(c) Evaluate U(2) Evaluate (²) Evaluate x(1) Evaluate y(1)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_forward5. The function y₁ = r + 1 is a solution of (1-2-x²)+2(1+z)y-2yy=0. Find the general solution.arrow_forwardQ. No. 11 The solution of the DE 3ry" + y/ – y = 0 (a) yı = rš[1 – {x +²+...], y2 = 1+x – 20² + ... (b) yı = a3[1 – r +a² + ...], y2 = 1+ 2x – 2x² + ... (c) yı = xš[1 – x + a² + ...], y2 =1+ 2x – 2x3 + ... (d) yı = [1 – x + x² + ...], y2 = 1+ 2x – 2x2 +... solve this and tick the correct optionarrow_forward
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