Qs: Solve the fallow ing differential equations 2.

Q3: A) Solve: B) Solve: The differential equation: x³y + 3xy" + xy' + 8y = 1/2 (x2+3y²)dx - 2xy dy

Write the differential equation in linear form. Solve the equation and write y as an explicit function of x. ху" 2у + 3x3

The percentage of female high school graduates who enrolled in college is given in the table below. Year 1970 1980 1990 2000 2010 College Enrollment Percentages for Females 25.5 30.3 38.3 45.6 50.5 Let a represent time (in years) since 1970, and let y represent the corresponding percentage of female high school graduates who enrolled in college. Find the cubic regression model y = F(x) = ax³ + bx² + cx + d, = where a is rounded to 6 decimal places, b is rounded to 4 decimal places, c is rounded to 3 decimal places, and d is rounded to 1 decimal place.