Problem #4: The second-order linear differential equation xy" + 2y = 12x² can be solved by first making the substitution u = y'. What is the general solution of this differential equation? Problem #4: (A) y = x³ + C (B) y = x³ + Cx²¹¹ (C) y = x³ + Cx²¹¹ +D (D) y = 3x² + Cx²² (E) y = 3x² + Cx²² + D Select v Save

7. Use separation of variables to find the general solution of the differential equation. (2+x)y' = 2y a. y = C(2– x) b. y = C(2-x)² c. y = C(2+x)² d. y = C(2+x) e. y = C(1+x)?

In Problems 7-12, match each of the given differential equations with one or more of these solutions: (a) y = 0, (b) y = 2, (c) y = 2x, (d) y = 2x². 7. xy' = 2y 8. y' = 2 9. 10. xy' = y (11.) y" +9y = 18 12. xy" - y'=0 y' = 2y - 4

SOLVE STEP BY STEP IN DIGITAL FORMAT 2. The solution of the differential equation 4 0x² a) U(x, y) = sen(x - 2y) b) U (x, y) = 8²U dy² 0 (2x - y²) c) U(x, y) = (x2² - 2y)