3. dx ox y dy = xy dx 5. xyy' = x + 1 dx 4. xy' = y +3 6. y + xe =0 18. x+3yx + 1 = 0, y(0) = 1 dx 19. x ln xy(1 + 3+ y) y', y(1) = 1 20. dy dy x sin x dx y(0) = -1 7. (e) 1)y = 2 + cosx 8. = 2x(y + 1) y dx dp 9. dt ap=tp-p + t - 1 dz 10. +el+z = 0 dt de t sec dH 11. dt Be12 12. dR RH 1 + R2 In H 13-20 Find the solution of the differential equation that satisfies the given initial condition. dy dP 13. = xe, y(0) = 0 14. Pt, P(1)=2 dx dt dA 15. Ab cos br, A(0) = b dr 16. x2y' = k sec y, y(1) = /6 21. Find an equation of the curve that passes throug (0, 2) and whose slope at (x, y) is x/y. 22. Find the function f such that f'(x) = xf(x) - f(0) = 2. 23. Solve the differential equation y' = x + y by m change of variable u = x + y. 24. Solve the differential equation xy' = y + xe/x change of variable v = y/x. 25. (a) Solve the differential equation y' = 2x1 (b) Solve the initial-value problem y' = 2x1 y(0) = = 0, and graph the solution. (c) Does the initial-value problem y' = 2x1 = 2, have a solution? Explain. y(0)